`(sumn^3)(sumn)=(sumn^2)^2` if

If S_(1) = sumn, S_(2) = sumn^(2), S_(3) = sumn^(3) then lim_(n rarr oo) (s_(1)(1+s_(3)/8))/(s_(2)^(2)) =

If sumn=55 then sumn^2=

Let S_n denote the sum of first n terms of the sequence 1,5,14,30,55,..... then prove that S_n-S_(n-1)=sumn^2 .

If sumn ,(sqrt(10))/3sumn^2,sumn^3 are in GP, then the value of n is

If sumn=210 , then sumn^2=

If sumn = 55 then sumn^2 . = ...............

If sum n^2=2870, then sumn^3= (A) 44100 (B) 48400 (C) 52900 (D) none of these

Write down the structural isomeric ethers corresponding to the molecular forluma C_5H_(12)O . DBE=(sumn(v-2))/(2)+1 =(5(4-2)+12(1-2)+1(2-2))/(2)+1=0 This implies that only saturated acyclic ethers are to be considered

(a^(2))/(2) + (b^(3))/(3) - (3c^(3))/(4) + (a^(2))/(3) - (3b^(3))/(4) + (c^(2))/(2) - (3a^(2))/(4) + (b^(3))/(2) + (c^(3))/(3) = "______"