Finding the rule for a sequence with alternating powers

Finding the rule for a sequence with alternating powers

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Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to derive a formula for a sequence with alternating signs. It begins by identifying the pattern of alternating positive and negative signs and discusses the initial formula of (-1) raised to the power of n. The instructor then adjusts the formula to ensure the first term is positive by using (-1) raised to the power of n+1. The tutorial also covers how to maintain a constant value of one in the sequence, regardless of the term number. Finally, the rule is finalized, ensuring the sequence alternates correctly between positive and negative values.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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