Mast hai yaar!
11 Answers
Goodness me,you are indeed a genius.
A small help though, how did you derive this
'2n^2+n+6'
Just by inspection ? or is there any shortcut for that ?
there is a theory to determine the degree of T_n
the method
let
T1 T2 T3 T4 T5 ......... be terms of seq
let
S1 S2 S3 S4 ........be T2-T1 ,T3-T2,.........respectively
if S1 S2 S3 .are in AP
then
Tn is quadratic in n
so put
Tn=an^2+bn+c
plug the first three terms to solve a , b,and c
if S1,S2,S3..are not in AP
then again take differnce and if that is in AP
Tn is cubic in n
likewise procced and increase the dgree each time [1]
the proof is not tuff
(x)^n-(x-a)^n will be of degree x^(n-1)
now u will realise i am not a genius , damn me , why did i tell this method
dont think like that guruji... u got the q thats god
methods become good as time passes and as u solve more and more q