Question

With out adding, find the sum if 1+3+5+7+9+11+13+15+17+19+21+23+25

Answer 1

it is 169
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Answer 2

Ans is 13 square = 169

Sum of first n odd natural number is n square

this mean that if you n odd natural number consecutively , you will get n square

For example =>

suppose we add first three consecutive odd nature numbers as 1 + 3 + 5... we get 9

This sum can be calculated as follow
Here we have three consecutive odd natural number and here n = 3 , so sum will be 3 square = 9

Similarly , in your problem, There are 13 consecutive odd natural numbers so sum will be 13 squared = 169