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AQA A Level Further Maths

Topic questions Pure mathematics Method of differences

Method of differences

5 questions · 39 marks · about 45 minutes

Method of differences questions

AQA 7367 Method of differences 5 questions

Paper 2 June 2024, Question 13 8 marks

(a)

Use the method of differences to show that

Question 13, shown as an image
[5]
Reveal mark scheme Mark scheme for question 13(a)
(b)

Find the smallest integer n such that

Question 13, shown as an image
[3]
Reveal mark scheme Mark scheme for question 13(b)

Paper 1 June 2023, Question 5 6 marks

The function f is defined by

Question 5, shown as an image
(a)

Show that

Question 5, shown as an image
[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Use the method of differences to show that

Question 5, shown as an image
[4]
Reveal mark scheme Mark scheme for question 5(b)

Paper 2 November 2021, Question 4 7 marks

(a)

Show that

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Use the method of differences to show that

Question 4, shown as an image
[3]
Reveal mark scheme Mark scheme for question 4(b)
(c)
Figure for question 4
[3]
Reveal mark scheme Mark scheme for question 4(c)

Paper 1 November 2020, Question 14 6 marks

(a)
Figure for question 14
[1]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Hence find the sum of the series

Cn maths symbol cosh x maths symbol cosh 2x maths symbol maths symbol maths symbol cosh nx

in terms of sinh x, sinh nx and sinh (n maths symbol 1)x

[5]
Reveal mark scheme Mark scheme for question 14(b)

Paper 2 June 2019, Question 14 12 marks

Let

Question 14, shown as an image

where n maths symbol 1

(a)

Use the method of differences to show that

Question 14, shown as an image

where a, b and c are integers.

[6]
Reveal mark scheme Mark scheme for question 14(a)
(b)
Question 14, shown as an image
Question 14, shown as an image
Question 14, shown as an image
[6]
Reveal mark scheme Mark scheme for question 14(b)

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Memes

Certified Further Maths memes. Peer-reviewed by nobody.

Laugh now. Cry in the exam hall later. Then come back and do a past paper.

Prove it by induction
Write ‘clearly’ and move on
Me on the final ‘show that’
Using the formula booklet
Proving it by induction
Writing ‘by symmetry’ to skip half the work
Writing ‘trivially’ and daring the examiner
Further enlightenment, ranked

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my answers are all complex rn

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