Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

12 questions

SA-4024-AL-0103 marksL1 FoundationNon-calculatorLinear sequences

The sequence

7,\ 11,\ 15,\ 19,\ldots

has nth term

an+b

. (i) Find

a

and

b

. (ii) Find the

50

th term.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-AL10-0012 marksL1 FoundationNon-calculatorLinear sequences

The nth term of

3,\ 7,\ 11,\ 15,\ldots

an+b

. Find

a

and

b

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SA-4024-AL10-0021 markL1 FoundationNon-calculatorOther sequences

Write down the next term of

1,\ 8,\ 27,\ 64,\ldots

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SA-4024-AL10-0031 markL1 FoundationNon-calculatorOther sequences

Write down the next term of the geometric sequence

2,\ 6,\ 18,\ldots

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SA-4024-AL10-0041 markL1 FoundationNon-calculatorOther sequences

The triangular numbers are

1,\ 3,\ 6,\ 10,\ldots

Find the

10

th triangular number.

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SA-4024-AL3-0032 marksL1 FoundationCalculatorLinear sequences

The sequence

5,\ 8,\ 11,\ 14,\ldots

continues in the same way. Find the

20

th term.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-AL3-0041 markL1 FoundationCalculatorLinear sequences

A sequence has nth term

4n-1

. Is

100

a term of the sequence?

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SA-4024-AL10-0052 marksL2 StandardNon-calculatorOther sequences

The nth term of

2,\ 5,\ 10,\ 17,\ldots

an^2+b

. Find

a

and

b

Salam Academy Original Practice · Proposed mark scheme

SA-4024-AL3-0052 marksL2 StandardCalculatorLinear sequences

The sequence

20,\ 17,\ 14,\ 11,\ldots

has nth term

23-3n

. Find the position of the first negative term.

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SA-4024-AL3-0073 marksL2 StandardCalculatorOther sequences

The quadratic sequence

2,\ 6,\ 12,\ 20,\ldots

continues in the same way. Find the

10

th term.

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SA-4024-AL-0113 marksL3 ExamNon-calculatorOther sequences

The sequence

3,\ 8,\ 15,\ 24,\ 35,\ldots

is quadratic. Find its

10

th term.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-AL10-0062 marksL3 ExamNon-calculatorOther sequences

In a Fibonacci-type sequence each term is the sum of the two before it. The first two terms are

a

and

b

. The

3

rd term is

7

and the

5

th term is

19

. Find

a

and

b

Salam Academy Original Practice · Proposed mark scheme