Gce Model Questions Vol1 2017 Mathematics Question 9

Practice essay / theory question 9 from the 2017 Gce Model Questions Vol1 Mathematics examination. This question covers Sequences and Series .

Gce Model Questions Vol1 2017 Mathematics Essay / Theory
Topic: Sequences and Series
Question 9 GCE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • essay

A sequence {a_n} is defined by a_1 = 2 and for n \ge 1, a_{n+1} = 3a_n + 4.

Question Parts

( a )
Derive an explicit formula for a_n in terms of n.
( b )
Using the formula from part (a), find the sum of the first five terms of the sequence.
( c )
Determine the smallest integer n for which a_n exceeds 500.

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About This Question

This is Gce Model Questions Vol1 2017 Mathematics Question 9. It is one of the essay questions from the 2017 Gce Model Questions Vol1 Mathematics examination.

The question covers Sequences and Series .

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