Question

Express 169 as the sum of 13 odd numbers.​

Answer 1

Squares and Square Roots. Express 169 as the sum of first 13 odd numbers. Find whether each of the following numbers is a perfect square or not? i.e. 121 = 1+3+5+7+9+11+13+15+17+19+21.

Answer 2

Answer:

Sum of 13 odd numbers

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

= (1 + 25) + (3 + 23) + (5 + 21) + (7 + 19) + (9 + 17) + (11 + 15) +13

= 26 + 26 + 26 + 26 + 26 + 26 + 13

=  (6 x 26) + 13

= 156 + 13

= 169

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