Igcse Model Questions Vol1 2019 Mathematics Question 15

Practice objective / multiple choice question 15 from the 2019 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Medium Difficulty
Question 15 IGCSE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

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

Answer Options

A. a_n = 3·3^{n-1} - 2; Sum of first 5 terms = 353
Correct Answer B. a_n = 4·3^{n-1} - 2; Sum of first 5 terms = 474
C. a_n = 4·3^{n-1} + 2; Sum of first 5 terms = 494
D. a_n = 4·3^{n-1} - 1; Sum of first 5 terms = 479
Correct Answer
B
Correct Option:
a_n = 4·3^{n-1} - 2; Sum of first 5 terms = 474

About This Question

This is Igcse Model Questions Vol1 2019 Mathematics Question 15. It is one of the objective questions from the 2019 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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