The sequence of positive odd integers can be written as 1, 3, 5, 7, …

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

The sequence of positive odd integers can be written as 1, 3, 5, 7, … . (a) Verify that this sequence is an arithmetic progression and state its first term and common difference. (b) Find the sum of the first 25 odd integers. (c) Using your result in part (b), write a general statement for the sum of the first nn odd integers.

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