Question

7. The sum of first n terms of odd natural number is :
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Answer 1

Answer:

The sum of the first odd natural number is n² (where n= number of terms)

Step-by-step explanation:

The list of first odd natural numbers is

1, 3, 5, 7, 8..........

Let the given sequence be of the form of an AP.

Here,

a=first term=1

d=common difference=2

Sum of n terms = n/2 [2a+(n-1)d]

n/2[2×1+(n-1)2]

n/2[2+(n-1)2]

n/2×2+n/2×(n-1)2

n+n(n-1)

n+n²-n

n².

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Ankit Kumar.