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The sum of all odd numbers between 0 and 52 is:
Question

The sum of all odd numbers between 0 and 52 is:

A.

576

B.

625

C.

729

D.

676

Correct option is D

Given:

Odd numbers from 0 to 52

Formula Used:

an=a+(n1)da_n = a +(n-1)d​​

Sum of a series =n2(a+l) \frac{n}{2}(a+l)​​

n is number of terms in the series

a is the first term and l is the last term

Solution:

The series for odd numbers from 0 to 52 is:

1,3,5,7……51

It forms a arithmetic progression with a fix difference of 2

The number in the series :

51 = 1 + (n-1)2

n= 26

Sum =262(1+51) \frac{26}{2}(1+51)​​

= 13(52)

= 676

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