Math, asked by yashbhatt8111, 4 months ago

Find the sum of first n odd natural numbers.​

Answers

Answered by neerajverma4151
2

Answer:

Hence this series is an Arithmetic Progression. First term of this sequence is 1 and the common difference is 2. So we get our sequence is arithmetic progression with a = 1 and d = 2. Hence the sum of the first n odd natural number is n2.

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Answered by Anonymous
47

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Find the sum of first n odd natural numbers.

Solution

The sequence of first n odd numbers is

1,3,5,7.........n

This forms an A.P with a=1 and d=2

S = n/2{2a+(n−1)d}

⇒S = n/2{2(1)+(n−1)2}

⇒S = n/2(2n)

⇒S = n²

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