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If an-1, an, an+1 are in A.P., then an is called

Question

If an-1, an, an+1 are in A.P., then an is called

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Solution

If the terms an-1, an, an+1 are in an arithmetic progression (A.P.), then the term an is called the arithmetic mean of an-1 and an+1. This is because in an arithmetic progression, the average of two terms equidistant from the beginning and end is always the same, and in this case, an is exactly in the middle of an-1 and an+1.

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