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3.3.4 Sequences and series (A-level only)

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Question 16

A geometric series has a second term of 3 and its sum to infinity is 16.

Determine the two possible values of $r$ .

[3]

Determine the corresponding two possible values of $a$ .

[2]

Given that $r\,$ takes the larger of the two possible values, find the smallest value of $n\,$ for which $S_n > 15.5$ .

[3]

Markscheme

3.3.4 Sequences and series (A-level only) Questions

A Level
Maths
3.3.4 Sequences and series (A-level only)

63 exam-style questions on CCEA A Level Maths 3.3.4 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.3.4 Sequences and series (A-level only)

Question bank

3.3.4 Sequences and series (A-level only)

Easy Medium

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Question 16

A geometric series has a second term of 3 and its sum to infinity is 16.

Determine the two possible values of $r$ .

[3]

Determine the corresponding two possible values of $a$ .

[2]

Given that $r\,$ takes the larger of the two possible values, find the smallest value of $n\,$ for which $S_n > 15.5$ .

[3]

Markscheme

3.3.4 Sequences and series (A-level only) Questions

A Level
Maths
3.3.4 Sequences and series (A-level only)

63 exam-style questions on CCEA A Level Maths 3.3.4 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.