Question

sum of the 'n' odd natural numbers in 961 . what is the value of 'n'

Answer 1

Hey✨✨✨✨✨

Here is your answer,⬇⬇⬇⬇

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The sequence becomes 1,3,5,7,9...

Here,

First term, a = 1

Common difference , d = 2

Sn = 961

The formula is Sn = n/2 ( 2a + ( n-1 ) d )

961 = n/2 ( 2(1) + (n-1) 2 )

961 = n ( 1+n-1 )

Both 1 and -1 will get cancelled

n^2 = 961

n = √ 31 x 31

n = 31

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Hope it helps you!✔✔✔✔

Answer 2

Odd natural numbers are : 1 , 3 , 5 , 7 .......

Here,

First term ( a ) = 1

Common difference ( d ) = 2

Sn = 961

n × 2a + ( n -1) × d / 2 = 961

n / 2 × ( 2a + ( n -1) × d = 961





n/2 × 2×1 + (n-1) × 2 = 961


n = 31