\(S_n=2S_{n-1}+4\) and \(Q_n=4Q_{n-1}+8\) for all \(n > 1.\) If \(S_5=Q_4\) and \(S_7=316,\) what is the first value of

This topic has expert replies
Moderator
Posts: 2058
Joined: Sun Oct 29, 2017 4:24 am
Thanked: 1 times
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

\(S_n=2S_{n-1}+4\) and \(Q_n=4Q_{n-1}+8\) for all \(n > 1.\) If \(S_5=Q_4\) and \(S_7=316,\) what is the first value of \(n\) for which \(Q_n\) is an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Answer: C

Source: Manhattan GMAT
Source: — Problem Solving |