Math, asked by akhil12364, 1 year ago

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

Answers

Answered by rohithaduvva
4

SUM OF FIRST N ODD NATURAL NUMBERS IS N^2=N*N

N*N=961

WE KNOW THAT 31*31=961

N*N=31*31

N^2=31^2

N=31


Answered by pavamuruganpbcfes
5
The sequence consists of odd numbers : 1,3,5,7,9

First term , a=1

Common difference, d= 3-1 = 2

Sum of 'n' terms = 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 cancel,

961 = n^ 2

n= √961

n= √31×31

n= 31

Hope this helps you friend
Thanks ✌️ ✌️
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