Gce Model Questions Vol1 2021 Mathematics Question 34

Practice objective / multiple choice question 34 from the 2021 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Medium Difficulty
Question 34 GCE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

A sequence is defined by \(a_{1}=2\) and \(a_{n+1}=3a_{n}+4\) for \(n\ge 1\). (i) Obtain a closed‑form expression for \(a_{n}\). (ii) Using this expression, calculate \(a_{5}\).

Answer Options

A. a_n = 4·3^{n} - 2; a_5 = 970
Correct Answer B. a_n = 4·3^{n-1} - 2; a_5 = 322
C. a_n = 4·3^{n-1} + 2; a_5 = 326
D. a_n = 3·3^{n-1} - 2; a_5 = 241
Correct Answer
B
Correct Option:
a_n = 4·3^{n-1} - 2; a_5 = 322

About This Question

This is Gce Model Questions Vol1 2021 Mathematics Question 34. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support