Question

Express 169 as the sum of 13 odd numbers.​

Answer 1

Step-by-step explanation:

We have 169 = 132

= Sum of first 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

Answer 2

Answer:

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.

Step-by-step explanation:

we have 169= 13²

= sum of frist 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

= [6×26]+13 = 156+13

= 169

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