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3.3.4 Sequences and series (A-level only)

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Question 11

In a geometric progression, the second term is 4 and the sum of all terms is 25.

Find the two possible values of the common ratio $r$ .

[3]

Find the corresponding two possible values of the first term $a$ .

[2]

Given that $r\,$ takes the larger of the two possible values, find the smallest value of $n\,$ for which $S_n > 24.5$ .

[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)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58

Question 11

In a geometric progression, the second term is 4 and the sum of all terms is 25.

Find the two possible values of the common ratio $r$ .

[3]

Find the corresponding two possible values of the first term $a$ .

[2]

Given that $r\,$ takes the larger of the two possible values, find the smallest value of $n\,$ for which $S_n > 24.5$ .

[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.