geometric

Geometric Sequences

By Harish Appana Satya on April 21, 2013

Consider a sequence of numbers where the next number is always twice as larger as the previous. This question set reveals how the nth term of a geometric sequence can be found, where consecutive terms in the sequence are always in the same ratio.

Posted in sec_mat_seq | Tagged common ratio, exponents, geometric, patterns, powers, sequences, series

<div id="hybrid-tags-3" class="widget tags widget-tags"><div class="widget-inside"><h3 class="widget-title">60 Most Frequent Tags</h3><p class="post_tag-cloud term-cloud"><a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/acceleration/" class="tag-cloud-link tag-link-155173 tag-link-position-1" style="font-size: 20.793103448276pt;" aria-label="acceleration (16 items)">acceleration</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/area/" class="tag-cloud-link tag-link-70139 tag-link-position-2" style="font-size: 9.9310344827586pt;" aria-label="area (5 items)">area</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/circular-motion/" class="tag-cloud-link tag-link-239571 tag-link-position-3" style="font-size: 9.9310344827586pt;" aria-label="circular motion (5 items)">circular motion</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/collisions/" class="tag-cloud-link tag-link-239563 tag-link-position-4" style="font-size: 12.827586206897pt;" aria-label="collisions (7 items)">collisions</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/common-ratio/" class="tag-cloud-link tag-link-163456 tag-link-position-5" style="font-size: 8pt;" aria-label="common ratio (4 items)">common ratio</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/conservation-of-energy/" class="tag-cloud-link tag-link-155195 tag-link-position-6" style="font-size: 14.034482758621pt;" aria-label="conservation of energy (8 items)">conservation of energy</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/conservation-of-momentum/" class="tag-cloud-link tag-link-159696 tag-link-position-7" style="font-size: 15.241379310345pt;" aria-label="conservation of momentum (9 items)">conservation of momentum</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/coulombs-law/" class="tag-cloud-link tag-link-159701 tag-link-position-8" style="font-size: 9.9310344827586pt;" aria-label="Coulomb's law (5 items)">Coulomb's law</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/counting/" class="tag-cloud-link tag-link-163421 tag-link-position-9" style="font-size: 11.620689655172pt;" aria-label="counting (6 items)">counting</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/current/" class="tag-cloud-link tag-link-1241 tag-link-position-10" style="font-size: 11.620689655172pt;" aria-label="current (6 items)">current</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/displacement/" class="tag-cloud-link tag-link-155175 tag-link-position-11" style="font-size: 20.068965517241pt;" aria-label="displacement (15 items)">displacement</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/distance/" class="tag-cloud-link tag-link-436 tag-link-position-12" style="font-size: 14.034482758621pt;" aria-label="distance (8 items)">distance</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/earth/" class="tag-cloud-link tag-link-139799 tag-link-position-13" style="font-size: 12.827586206897pt;" aria-label="Earth (7 items)">Earth</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/elastic-collisions/" class="tag-cloud-link tag-link-159697 tag-link-position-14" style="font-size: 8pt;" aria-label="elastic collisions (4 items)">elastic collisions</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/electricity/" class="tag-cloud-link tag-link-175363 tag-link-position-15" style="font-size: 9.9310344827586pt;" aria-label="electricity (5 items)">electricity</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/elementary-math/" class="tag-cloud-link tag-link-239566 tag-link-position-16" style="font-size: 12.827586206897pt;" aria-label="elementary math (7 items)">elementary math</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/energy/" class="tag-cloud-link tag-link-821 tag-link-position-17" style="font-size: 12.827586206897pt;" aria-label="energy (7 items)">energy</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/environment/" class="tag-cloud-link tag-link-823 tag-link-position-18" style="font-size: 8pt;" aria-label="environment (4 items)">environment</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/equilibrium/" class="tag-cloud-link tag-link-163405 tag-link-position-19" style="font-size: 8pt;" aria-label="equilibrium (4 items)">equilibrium</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/extreme/" class="tag-cloud-link tag-link-272418 tag-link-position-20" style="font-size: 8pt;" aria-label="extreme (4 items)">extreme</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/extreme-environments/" class="tag-cloud-link tag-link-272404 tag-link-position-21" style="font-size: 9.9310344827586pt;" aria-label="extreme environments (5 items)">extreme environments</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/force/" class="tag-cloud-link tag-link-272482 tag-link-position-22" style="font-size: 11.620689655172pt;" aria-label="force (6 items)">force</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/forces/" class="tag-cloud-link tag-link-155183 tag-link-position-23" style="font-size: 22pt;" aria-label="forces (18 items)">forces</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/frames-of-reference/" class="tag-cloud-link tag-link-158608 tag-link-position-24" style="font-size: 12.827586206897pt;" aria-label="frames of reference (7 items)">frames of reference</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/geometry/" class="tag-cloud-link tag-link-239572 tag-link-position-25" style="font-size: 9.9310344827586pt;" aria-label="geometry (5 items)">geometry</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/grade-11/" class="tag-cloud-link tag-link-369076 tag-link-position-26" style="font-size: 8pt;" aria-label="Grade 11 (4 items)">Grade 11</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/graphing/" class="tag-cloud-link tag-link-239604 tag-link-position-27" style="font-size: 18.862068965517pt;" aria-label="graphing (13 items)">graphing</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/gravitational-acceleration/" class="tag-cloud-link tag-link-155172 tag-link-position-28" style="font-size: 16.206896551724pt;" aria-label="gravitational acceleration (10 items)">gravitational acceleration</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/gravitational-potential-energy/" class="tag-cloud-link tag-link-155193 tag-link-position-29" style="font-size: 11.620689655172pt;" aria-label="gravitational potential energy (6 items)">gravitational potential energy</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/gravity/" class="tag-cloud-link tag-link-239556 tag-link-position-30" style="font-size: 18.862068965517pt;" aria-label="gravity (13 items)">gravity</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/kinematics/" class="tag-cloud-link tag-link-239550 tag-link-position-31" style="font-size: 8pt;" aria-label="kinematics (4 items)">kinematics</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/kinetic-energy/" class="tag-cloud-link tag-link-155194 tag-link-position-32" style="font-size: 12.827586206897pt;" aria-label="kinetic energy (7 items)">kinetic energy</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/lines/" class="tag-cloud-link tag-link-163399 tag-link-position-33" style="font-size: 9.9310344827586pt;" aria-label="lines (5 items)">lines</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/mass/" class="tag-cloud-link tag-link-155187 tag-link-position-34" style="font-size: 11.620689655172pt;" aria-label="mass (6 items)">mass</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/measurement/" class="tag-cloud-link tag-link-145134 tag-link-position-35" style="font-size: 9.9310344827586pt;" aria-label="measurement (5 items)">measurement</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/molar-mass/" class="tag-cloud-link tag-link-163435 tag-link-position-36" style="font-size: 8pt;" aria-label="molar mass (4 items)">molar mass</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/momentum/" class="tag-cloud-link tag-link-158612 tag-link-position-37" style="font-size: 15.241379310345pt;" aria-label="momentum (9 items)">momentum</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/net-force/" class="tag-cloud-link tag-link-155185 tag-link-position-38" style="font-size: 15.241379310345pt;" aria-label="net force (9 items)">net force</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/newtons-laws/" class="tag-cloud-link tag-link-163413 tag-link-position-39" style="font-size: 11.620689655172pt;" aria-label="Newton`s laws (6 items)">Newton`s laws</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/optics/" class="tag-cloud-link tag-link-163417 tag-link-position-40" style="font-size: 9.9310344827586pt;" aria-label="optics (5 items)">optics</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/patterns/" class="tag-cloud-link tag-link-145132 tag-link-position-41" style="font-size: 11.620689655172pt;" aria-label="patterns (6 items)">patterns</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/percentages/" class="tag-cloud-link tag-link-163392 tag-link-position-42" style="font-size: 8pt;" aria-label="percentages (4 items)">percentages</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/physics/" class="tag-cloud-link tag-link-310 tag-link-position-43" style="font-size: 20.068965517241pt;" aria-label="Physics (15 items)">Physics</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/polygons/" class="tag-cloud-link tag-link-163449 tag-link-position-44" style="font-size: 8pt;" aria-label="polygons (4 items)">polygons</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/probability/" class="tag-cloud-link tag-link-163394 tag-link-position-45" style="font-size: 12.827586206897pt;" aria-label="probability (7 items)">probability</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/projectile-motion/" class="tag-cloud-link tag-link-155171 tag-link-position-46" style="font-size: 8pt;" aria-label="projectile motion (4 items)">projectile motion</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/ratios/" class="tag-cloud-link tag-link-163384 tag-link-position-47" style="font-size: 11.620689655172pt;" aria-label="ratios (6 items)">ratios</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/rectangles/" class="tag-cloud-link tag-link-161042 tag-link-position-48" style="font-size: 8pt;" aria-label="rectangles (4 items)">rectangles</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/resistance/" class="tag-cloud-link tag-link-155199 tag-link-position-49" style="font-size: 9.9310344827586pt;" aria-label="resistance (5 items)">resistance</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/secondary/" class="tag-cloud-link tag-link-449191 tag-link-position-50" style="font-size: 20.068965517241pt;" aria-label="Secondary (15 items)">Secondary</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/sequences/" class="tag-cloud-link tag-link-163424 tag-link-position-51" style="font-size: 9.9310344827586pt;" aria-label="sequences (5 items)">sequences</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/shape-and-space/" class="tag-cloud-link tag-link-239518 tag-link-position-52" style="font-size: 17.172413793103pt;" aria-label="shape and space (11 items)">shape and space</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/technology/" class="tag-cloud-link tag-link-119 tag-link-position-53" style="font-size: 14.034482758621pt;" aria-label="technology (8 items)">technology</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/transformations/" class="tag-cloud-link tag-link-145136 tag-link-position-54" style="font-size: 8pt;" aria-label="transformations (4 items)">transformations</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/triangles/" class="tag-cloud-link tag-link-161039 tag-link-position-55" style="font-size: 9.9310344827586pt;" aria-label="triangles (5 items)">triangles</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/trigonometry/" class="tag-cloud-link tag-link-145071 tag-link-position-56" style="font-size: 9.9310344827586pt;" aria-label="trigonometry (5 items)">trigonometry</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/vectors/" class="tag-cloud-link tag-link-159699 tag-link-position-57" style="font-size: 12.827586206897pt;" aria-label="vectors (7 items)">vectors</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/velocity/" class="tag-cloud-link tag-link-155174 tag-link-position-58" style="font-size: 22pt;" aria-label="velocity (18 items)">velocity</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/voltage/" class="tag-cloud-link tag-link-155198 tag-link-position-59" style="font-size: 9.9310344827586pt;" aria-label="voltage (5 items)">voltage</a> <a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/tag/weight/" class="tag-cloud-link tag-link-155186 tag-link-position-60" style="font-size: 11.620689655172pt;" aria-label="weight (6 items)">weight</a></p></div></div>