Multiple choice

The sum of the first 10 terms of the series 1, 3, 5, 7, …….. is

  1. 75

  2. 50

  3. 100

  4. 121
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C Correct answer
Explanation

This is an arithmetic progression with first term a=1 and common difference d=2. The sum of the first n terms is n^2. For n=10, 10^2 = 100.

AI explanation

This series is an arithmetic progression with the first term a as 1 and the common difference d as 2. Using the sum formula for the first n terms, S = n/2 * [2a + (n-1)d], we get S = 10/2 * [2(1) + (10-1)2]. This simplifies to 5 * (2 + 18), which equals 5 * 20, resulting in 100.

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