Question

How many odd numbers from 1 makes the sum 961

Answer 1

31

step 1: Address the formula, input parameters & values.

Input parameters & values:

The number series 1, 3, 5, 7, 9, . . . . , 61.

The first term a = 1

The common difference d = 2

Total number of terms n = 31

step 2 :apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 31/2 x (1 + 61)

= (31 x 62)/ 2

= 1922/2

1 + 3 + 5 + 7 + 9 + . . . . + 61 = 961

Therefore, 961 is the sum of first 31 odd numbers.

Answer 2

Answer:

Sum of first n odd numbers=n2

1,3,5,7,.......n=961

n3=961

n=√31

n=31.

31 odd numbers from 1 makes the sum 961