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3.3.4 Sequences and series (A-level only)

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Question 24

An arithmetic sequence has first term $a$ and common difference $d$ .

The sum of the first 9 terms of the sequence is equal to the square of the sum of the first 3 terms.

Show that $a + 4d = a^2 + 2ad + d^2$

[4]

Given that the fifth term of the sequence is 9, find the smallest possible value of $a$ .

[4]

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

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 24

An arithmetic sequence has first term $a$ and common difference $d$ .

The sum of the first 9 terms of the sequence is equal to the square of the sum of the first 3 terms.

Show that $a + 4d = a^2 + 2ad + d^2$

[4]

Given that the fifth term of the sequence is 9, find the smallest possible value of $a$ .

[4]

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.