Gce Model Questions Vol1 2020 Mathematics Question 39

Practice objective / multiple choice question 39 from the 2020 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Medium Difficulty
Question 39 GCE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

A sequence is defined by \(a_{1}=2\) and \(a_{n+1}=3a_{n}+4\) for \(n\ge 1\).\n(i) Obtain an explicit formula for \(a_{n}\).\n(ii) Using this formula, find the sum of the first five terms \(S_{5}=a_{1}+a_{2}+a_{3}+a_{4}+a_{5}\).

Answer Options

Correct Answer A. Explicit formula: \(a_{n}=4\cdot3^{n-1}-2\); \(S_{5}=474\)
B. Explicit formula: \(a_{n}=4\cdot3^{n-1}+2\); \(S_{5}=486\)
C. Explicit formula: \(a_{n}=4\cdot3^{n}-2\); \(S_{5}=590\)
D. Explicit formula: \(a_{n}=4\cdot3^{n-1}-2\); \(S_{5}=462\)
Correct Answer
A
Correct Option:
Explicit formula: \(a_{n}=4\cdot3^{n-1}-2\); \(S_{5}=474\)

About This Question

This is Gce Model Questions Vol1 2020 Mathematics Question 39. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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