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3.3.4 Sequences and series (A-level only)

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Question 10

The third term of an arithmetic series is 10 and the sum of the first nine terms of the series is 153.

Find the first term of the series.

[2]

Find the common difference.

[2]

Find the highest value of $n\,$ for which the sum of the first $n\,$ terms is less than 300.

[6]

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 10

The third term of an arithmetic series is 10 and the sum of the first nine terms of the series is 153.

Find the first term of the series.

[2]

Find the common difference.

[2]

Find the highest value of $n\,$ for which the sum of the first $n\,$ terms is less than 300.

[6]

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.