Neco 2021 Mathematics Question 4

Practice objective / multiple choice question 4 from the 2021 Neco Mathematics examination.

Neco 2021 Mathematics Objective / Multiple Choice Medium Difficulty
Question 4 NECO • 2021 • MATHEMATICS • objective

An infinite geometric series has sum 12 and the sum of the squares of its terms is 20. Find the first term \(a\) and common ratio \(r\) (with \(|r|<1\)), and then give the sum of its first three terms.

Answer Options

A. a = 121\/41, r = 31\/41, sum of first three terms = 469560\/68921 \(\approx 6.81\)
B. a = 120\/41, r = -31\/41, sum of first three terms = 469560\/68921 \(\approx 6.81\)
C. a = 120\/41, r = 31\/41, sum of first three terms = 470000\/68921 \(\approx 6.82\)
Correct Answer D. a = 120/41, r = 31/41, sum of first three terms = 469560/68921 \(\approx 6.81\)
Correct Answer
D
Correct Option:
a = 120/41, r = 31/41, sum of first three terms = 469560/68921 \(\approx 6.81\)

About This Question

This is Neco 2021 Mathematics Question 4. It is one of the objective questions from the 2021 Neco Mathematics examination.

Difficulty level: Medium .

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