[" If "1^(2)+2^(2)+3^(2)+.........+n^(2)=(n(n+1)(2n+1))/(6)],[" find the value of "5^(2)+6^(2)+7^(2)+...+10^(2)]

Prove that 1^(2)+2^(2)+3^(2)+.....+n^(2)=(n(n+1)(2n+1))/6

1^(2)+2^(2)+3^(2)+............+n^(2)=(n(n+1)(2n+1))/6 forall n in N.

Prove that : 1^(2)+2^(2)+3^(2)+...+n^(2)=(n(n+1)(2n+1))/(6)

1 ^(2) + 2^(2) + 3^(2) + . . . + n^(2) = (n (n + 1) (2 n + 1))/( 6)

1.3+2.4+3.5+....+n(n+2)=(n(n+1)(2n+7))/(6)

P(n) : 1^(2) + 2^(2) + 3^(2) + .......+ n^(2) = n/6(n+1) (2n+1) n in N is true then 1^(2) +2^(2) +3^(2) + ........ + 10^(2) = .......

Given that 1^(2) + 2^(2) + 3^(2) + …. + n^(2) = (n)/(6) (n + 1) (2n + 1) , then 10^(2) + 11^(2) + 12^(2) + … + 20^(2) is equal to

If ^(2n+1)P_(n-1):^(2n-1)P_(n)=3:5, then find the value of n.

Find the value of 2^(n){1.3.5.....(2n-3)(2n-1)}

Match the following . {:(,"ColumnI",,"ColumnII"),((i) ,1^(2) +2^(2) +3^(2) +....+n^(2) ,(a) ,[(n(n+1))/(2)]^(2)),((ii) , 1^(3) +2^(2) +3^(2) +...+n^(3) ,(b), n(n+1)),((iii),2+4+6+...+2n,( c),(n(n+1)(2n+1))/(6)),((iv),1+2+3+...+n,(d),(n(n+1))/(2)):}