Revision Library

revisionlibrary.co.uk

FOUNDATION

4.7F Sequences (Nth Term): Foundation Tier Practice

EDEXCEL 1MA1 · Calculator allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A sequence begins 2, 5, ... and each term increases by the same amount. Work out the 3rd term of the sequence.

(Total for Question 1 is 1 mark)

Write down the missing number in this sequence: 7, 10, 13, __, 19.

(Total for Question 2 is 1 mark)

Work out the 6th term of the sequence defined by nth term = 4n - 1.

(Total for Question 3 is 1 mark)

Find the nth term of the sequence 3, 6, 9, 12, ...

(Total for Question 4 is 2 marks)

Write down an expression for the nth term of the sequence 10, 8, 6, 4, ...

(Total for Question 5 is 2 marks)

The sequence is 5, 9, 13, 17, ... Find the value of n for the term 29.

(Total for Question 6 is 2 marks)

a) Write down the nth term of the sequence -2, 1, 4, 7, ...
b) Work out the 10th term.

(a)Write down the nth term of the sequence -2, 1, 4, 7, ...(2)

(b)Work out the 10th term.(1)

(Total for Question 7 is 3 marks)

The nth term of a sequence is 7n - 2. Is 48 a term of this sequence? Give a reason for your answer.

(Total for Question 8 is 2 marks)

a) Find the nth term of the sequence 2, 7, 12, 17, ...
b) Work out the 6th term.

(a)Find the nth term of the sequence 2, 7, 12, 17, ...(2)

(b)Work out the 6th term.(1)

(Total for Question 9 is 3 marks)

Show that every term of the sequence with nth term 6n - 4 is an even number.

(Total for Question 10 is 2 marks)

Mark scheme · 4.7F Sequences (Nth Term): Foundation Tier Practice

Question 1

B1 8 cao
Answer: 8

Question 2

B1 16 cao
Answer: 16

Question 3

B1 23 cao
Answer: 23

Question 4

M1 identify multiply by 3 pattern or show 3, 6, 9, 12 = 3n oe
A1 3n cao
Answer: 3n

Question 5

M1 identify subtract 2 each time or form 12 - 2n oe
A1 12 - 2n cao
Answer: 12 - 2n

Question 6

M1 use nth term formula 4n + 1 = 29 or show 5 + (n-1)4 = 29 oe
A1 7 cao
Answer: 7

Question 7

(a) M1 identify add 3 pattern or form 3n - 5 oe
(a) A1 3n - 5 cao
(a) Answer: 3n - 5
(b) B1 25 cao
(b) Answer: 25

Question 8

M1 attempt to solve 7n - 2 = 48 leading to n = 50/7 or show division step
A1 correct conclusion that 48 is not a term because n is not an integer oe
Answer: No, 48 is not a term because 7n - 2 = 48 gives n = 50/7 which is not a whole number.

Question 9

(a) M1 identify add 5 pattern or form 5n - 3 oe
(a) A1 5n - 3 cao
(a) Answer: 5n - 3
(b) B1 27 cao
(b) Answer: 27

Question 10

M1 show algebraic factorisation 6n - 4 = 2(3n - 2) or equivalent
A1 conclude every term is even because it is 2 times an integer cso
Answer: 6n - 4 = 2(3n - 2), so every term is even because it is 2 times an integer.

Sequences (Nth Term): Foundation Tier Practice - Worksheets, Questions and Revision