Question

The general term of a sequence is given by an = -4n + 15. Is the sequence an A. P.? If so, find its 15th term and the common difference.

Answer 1

Answer:

We know that nth term of an Arithmetic Progress, whose first term is a and common difference is d is tn = a + (n - 1) × d. Therefore, 15th term of the Arithmetic Progress = t15 = 3 + (15 - 1) × 2 = 3 + 14 × 2 = 3 + 28 = 31. 2.

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