What is the sum of the arithmetic series of odd numbers below? 1 + 3 + 5 + + 25?

Sum of the arithmetic series of odd numbers 1 + 3 + 5 + ... + 25 is 169 .

Step-by-step explanation:

Formula of airthmetic series

Where n is the nth term , is the nth term , d is the common difference and   is the first term .

As the airthmetic series given in the question .

1 + 3 + 5 + ... + 25

d = 3 - 1

d = 2

Put all the values in the formula

25 - 1 = 2n - 2

24 + 2 = 2n

26 = 2n

n = 13

Now put the values in the another formula

Therefore the sum of the arithmetic series of odd numbers 1 + 3 + 5 + ... + 25 is 169 .

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