If the sum of the first 12 terms of the series 1+6+ 9 (1^2+2^2+3^2 ) 7+ 12 (1^2+2^2+3^2+4^2 ) 9+ is 259m 3,...

Question

If the sum of the first 12 terms of the series 1+6+ 9 (1^2+2^2+3^2 ) 7+ 12 (1^2+2^2+3^2+4^2 ) 9+ is 259m 3, then find the value of m.

Accepted Answer

39

JEE Main Mathematics question