Gce Model Questions Vol1 2023 Mathematics Question 35

Practice objective / multiple choice question 35 from the 2023 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Medium Difficulty
Question 35 GCE_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

An infinite geometric series has first term \(a\) and common ratio \(r\) (with \(|r|<1\)). The sum of the first three terms is \(26\) and the sum to infinity is \(40\). Find \(a\) and \(r\).

Answer Options

A. a = 40(1 + \sqrt[3]{7\/20}), r = \sqrt[3]{7\/20}
B. a = 40(1 - \sqrt[3]{5\/20}), r = \sqrt[3]{5\/20}
C. a = 40(1 - \sqrt[3]{7\/20}), r = -\sqrt[3]{7\/20}
Correct Answer D. a = 40(1 - \sqrt[3]{7/20}), r = \sqrt[3]{7/20}
Correct Answer
D
Correct Option:
a = 40(1 - \sqrt[3]{7/20}), r = \sqrt[3]{7/20}

About This Question

This is Gce Model Questions Vol1 2023 Mathematics Question 35. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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