Question

express 144 as a sum of consecutive odd numbers

Answer 1

Heya Mate! Here's your answer:

As we know that a square number can also be expressed as the sum of first (square root of the number) odd consecutive numbers, for example:

64: square root of 64 is 8, so, 1+3+5+7+9+11+13+15 = 64, where these numbers are the first 8 odd consecutive numbers.

Similarly, 144 can be expressed as the sum of first 12 (since 12 is the square root of 144) odd consecutive number,

                        1+3+5+7+9+11+13+15+17+19+21+23 = 144