Waec Model Questions Vol1 2019 Mathematics Question 9

Practice essay / theory question 9 from the 2019 Waec Model Questions Vol1 Mathematics examination. This question covers Sequences and Series .

Waec Model Questions Vol1 2019 Mathematics Essay / Theory

Topic: Sequences and Series

Question 9 WAEC_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • essay

A sequence \(\{u_n\}\) is defined by \(u_1 = 2\) and for \(n \ge 1\) the recurrence relation \(u_{n+1}=3u_n+4\).

Question Parts

( a )

Obtain an explicit formula for \(u_n\) in terms of \(n\).

( b )

Using the formula obtained in part (a), find the sum of the first five terms \(S_5 = u_1+u_2+u_3+u_4+u_5\).

( c )

Determine the smallest integer \(n\) for which \(u_n > 500\).

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About This Question

This is Waec Model Questions Vol1 2019 Mathematics Question 9. It is one of the essay questions from the 2019 Waec Model Questions Vol1 Mathematics examination.

The question covers Sequences and Series .

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