Gce Model Questions Vol1 2018 Mathematics Question 9

Practice essay / theory question 9 from the 2018 Gce Model Questions Vol1 Mathematics examination. This question covers Sequences and Series .

Gce Model Questions Vol1 2018 Mathematics Essay / Theory

Topic: Sequences and Series

Question 9 GCE_MODEL_QUESTIONS_VOL1 • 2018 • 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 )

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

( b )

Using the formula obtained in part (a), calculate the sum \(S_5 = u_1+u_2+u_3+u_4+u_5\).

( c )

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

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About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 9. It is one of the essay questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

The question covers Sequences and Series .

View More Gce Model Questions Vol1 2018 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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