Question

Find the sum of 1²+3²+5²+......+31²​

Answer 1

Answer:

5456

Step-by-step explanation:

1²+3²+5²+......+31²​ = ?

= 1²+3²+5²+......+(2(16)-1)²​

by formula , 1²+3²+5²+......+(2n-1)²​ = [n(4n²-1)]/3

=> 1²+3²+5²+......+(2(16)-1)²​  = [16(4*16² - 1)]/3

=> [ 16( 4 * 256 - 1 )]/3

=> [16(1024-1)] / 3

=> [16(1023)] / 3

=> 16 * 341

=> 5456