A sequence contains the terms `S_1,S_2,S_3,....S_n`, where `S_2=2&S_n=S_(n-1)+2S_2` What is the value of `S_18`

If S_(3n)=2S_n then find the value of S_(4n)/S_(2n)

Consider the sequence of natural numbers S_0,S_1,S_2 ,... such that S_0 =3, S_1 = 3 and S_n = 3 + S_(n-1) S_(n-2) , then

Consider the sequence of natural numbers s_0,s_1,s_2 ,... such that s_0 =3, s_1 = 3 and s_n = 3 + s_(n-1) s_(n-2) , then

Consider the sequence of natural numbers s_0,s_1,s_2 ,... such that s_0 =3, s_1 = 3 and s_n = 3 + s_(n-1) s_(n-2) , then

(1) .Let S_n denote the sum of the first 'n' terms and S_(2n)= 3S_n. Then, the ratio S_(3n):S_n is: (2) let S_1(n) be the sum of the first n terms arithmetic progression 8, 12, 16,..... and S_2(n) be the sum of the first n terms of arithmatic progression 17, 19, 21,....... if S_1(n)=S_2(n) then this common sum is

If S_n , be the sum of n terms of an A.P ; the value of S_n-2S_(n-1)+ S_(n-2) , is

Consider the sequence of natural numbers s_(0),s_(1),s_(2),... such that s_(0)=3,s_(1)=3 and s_(n)=3+s_(n-1)s_(n-2) then

If the sum of n, 2n and infinite terms of G.P. are S_(1),S_(2) and S respectively, then prove that S_(1)(S_(1)-S)=S(S_(1)-S_(2)).

If the sum of n, 2n and infinite terms of G.P. are S_(1),S_(2) and S respectively, then prove that S_(1)(S_(1)-S)=S(S_(1)-S_(2)).

A sequence S is defined as follows : S_(n)=(S_(n+1)+S_(n-1))/(2) . If S_(1)=15 and S_(4)=10.5, What is S_(2) ?