Igcse Model Questions Vol1 2018 Mathematics Question 40

Practice objective / multiple choice question 40 from the 2018 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Medium Difficulty
Question 40 IGCSE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

A sequence is defined by \(a_{1}=3\) and \(a_{n+1}=2a_{n}+1\) for \(n\ge 1\). Determine the smallest integer \(n\) for which the sum \(S_{n}=a_{1}+a_{2}+\dots +a_{n}\) exceeds 1000, and give the value of \(S_{n}\) for that \(n\).

Answer Options

A. n = 9, S = 2035
B. n = 8, S = 1008
C. n = 7, S = 501
Correct Answer D. n = 8, S = 1012
Correct Answer
D
Correct Option:
n = 8, S = 1012

About This Question

This is Igcse Model Questions Vol1 2018 Mathematics Question 40. It is one of the objective questions from the 2018 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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