Flashcards

Predicting What Comes Next: Exploring Sequences and Progressions
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Question

What is the explicit formula for the nthn^{\text{th}} term of an Arithmetic Progression (AP)?

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Answer

The formula is tn=a+(n1)dt_n = a + (n-1)d where tnt_n is the nthn^{\text{th}} term, aa is the first term, and dd is the common difference. This allows direct calculation of any term.

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