Multiple choice

Find the sum of first 10 terms of the arithmetic sequence $1, 3, 5, 7, ...........$

  1. 90

  2. 95

  3. 96

  4. 100
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D 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) * (2a + (n-1)d). For n=10, sum = (10/2) * (2*1 + 9*2) = 5 * 20 = 100.

AI explanation

This is an arithmetic progression where the first term is 1 and the common difference is 2. Using the sum formula $S_n = n/2 \times [2a + (n-1)d]$, we get $S_{10} = 10/2 \times [2(1) + (10-1)2]$. This simplifies to $5 \times 20$, which equals 100. The result is 100.

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