This question set introduces the concept of arithmetic sequences and their properties. Students will be tested on their ability to recognize patterns and think critically to derive general formulas.
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common difference, common ratio, math 11-12, patterns, sequences, series
How can the sum of all the numbers between 1 and 100 be found quickly? This question set covers ways to solve this problem as well as finding the sum of more complex arithmetic series.
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arithmetic series, common ratio, log laws, math 11-12, patterns, proof, sequences, series, sum of series, sums
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.
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common ratio, exponents, geometric, patterns, powers, sequences, series
A general formula to find the sum of the first n terms of a geometric series is discovered. The properties of this formula will then be tested in the following questions.
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common ratio, exponents, geometric series, math 11-12, patterns, percentages, proof, ratios, sequences, series, sum of series



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