Question

sum of some consecutive odd number starting with 1,is 5184. how many odd numbers are added

Answer 1

Given :  sum of some consecutive odd number starting with 1,is 5184.

To Find : how many odd numbers are added

Solution:

sum of n consecutive odd number starting with 1 is n²

=> n²  = 5184

=> n = 72

Proof

Let say n numbers

a = 1  , d = 2

nth term = a + (n - 1)d

last number = 1  + (n - 1) 2  = 2n  - 1

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

= n²

72 odd numbers are added

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