Question

Sum of the first n odd numbers is 625.what number is n?

Answer 1

Answer:

N is a number.............

Answer 2

There will be 25 odd numbers which sum is 625

Step-by-step explanation:

We have given the sum of first n odd numbers is 625

We have to find the value of n

Odd numbers will be 1,3,5.......

So first number a = 1

Common difference d = 2

Sum of AP is given by

$S=\frac{n}{2}(2a+(n-1)d)$

So $625=\frac{n}{2}(2\times 1+(n-1)\times 2)$

$1250=n(2+2n-2)$

$2n^2=1250$

$n^2=625$

n = 25

So there will be 25 odd numbers which sum is 625

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