Gce Model Questions Vol1 2020 Mathematics Question 3

Practice objective / multiple choice question 3 from the 2020 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Medium Difficulty
Question 3 GCE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

For a positive integer \(n\), define \(S_n = \sum_{k=1}^{n} k\,2^{k}\). Derive a closed‑form expression for \(S_n\) in terms of \(n\) and then evaluate \(S_5\).

Answer Options

A. S_n = (n)2^{\,n+1}; \; S_5 = 320
B. S_n = 2 + (n-1)2^{\,n}; \; S_5 = 130
Correct Answer C. S_n = 2 + (n-1)2^{\,n+1}; \; S_5 = 258
D. S_n = 2 + (n-2)2^{\,n+1}; \; S_5 = 226
Correct Answer
C
Correct Option:
S_n = 2 + (n-1)2^{\,n+1}; \; S_5 = 258

About This Question

This is Gce Model Questions Vol1 2020 Mathematics Question 3. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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