Question

The sum of first n odd natural number is

 A)n/2

 B)n2

 C)(n+1)2

 D)2n-1

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Answer 1

Answer:

The sum of first n odd natural number is

n^2

Answer 2

Answer:

n²

Step-by-step explanation:

$s_{n} = \frac{n}{2} (2a + (n - 1)d) \\ a = 1 \: \: \: d = 2 \\ s_{n} = \frac{n}{2} (2 \times 1 + (n - 1)2 \\ s_{n} = \frac{n}{2} (2 + 2n - 2) \\ s_{n} = \frac{n}{2} (2n) \\ s_{n} = \frac{n}{2} \times 2n \\ s_{n} = {n}^{2}$

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