Question

Express 169 as the sum of 13 consecutive odd natural numbers

Answer 1

Answer:

169

Step-by-step explanation:

To Find : Express 169 as the sum of 13 consecutive odd natural numbers

Solution:

First odd natural number = 1

Second odd natural number = 3

Third odd natural number = 5

So, It form AP 1,3,5...

Common difference d = 3-1=5-3=2

first term = a= 1

n = no. of terms = 13

Sum of first n terms = $\frac{n}{2}(2a+(n-1)d)$

Sum of first 13 terms = $\frac{13}{2}(2+(13-1)2)$

                                  = $169$

Hence the sum of 13 consecutive odd natural numbers is 169.

Answer 2

Answer: 1+3+5+7+9+11+13+15+17+19+21+23+25

Step-by-step explanation:

because 13^2 = 169 so there will be 13 odd numbers