Gce Model Questions Vol1 2020 Mathematics Question 43

Practice objective / multiple choice question 43 from the 2020 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Medium Difficulty
Question 43 GCE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

Consider a sequence \(\{a_n\}\) defined by \(a_n = n^{3} - 3n^{2} + k n\) for all positive integers \(n\). It is given that the sum of the first five terms equals \(200\). Determine the value of \(k\) and then compute \(a_{10}\).

Answer Options

A. k = \frac{30}{3}, a_{10} = \frac{2380}{3}
B. k = \frac{28}{3}, a_{10} = \frac{2400}{3}
Correct Answer C. k = \frac{28}{3}, a_{10} = \frac{2380}{3}
D. k = \frac{14}{3}, a_{10} = \frac{1190}{3}
Correct Answer
C
Correct Option:
k = \frac{28}{3}, a_{10} = \frac{2380}{3}

About This Question

This is Gce Model Questions Vol1 2020 Mathematics Question 43. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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