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Edexcel IGCSE Math A Foundation 3.1 Sequences Questions

Practise sequence work from pattern continuation to nth terms, arithmetic proofs and series sums involving unknown constants.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Foundation

Exam points

  • find terms from nth-term formulae, term-to-term rules or drawn patterns
  • prove arithmetic behaviour by comparing consecutive algebraic terms
  • use arithmetic series formulae to solve for a, d or the number of terms

Covered syllabus points

3.1.A Generating sequences3.1.B Subsequent terms of an integer sequence and the rule3.1.C nth terms of arithmetic sequences

Question 1

[Maximum number: 3]

Here is a sequence of patterns.

Figure for Question 1 — Edexcel IGCSE Math A Foundation

Pattern number 1 is made from 1 white dot.
All other patterns are made from black dots and white dots.

Question (a)

(a)

In the space below, draw Pattern number 4

[ 1 ]

Question (b)

(b)

Complete the table for the sequence of patterns.

Table for Question (b) — Edexcel IGCSE Math A Foundation
[ 1 ]

Question (c)

(c)

One pattern in the sequence is made with exactly 20 black dots.

Work out the total number of dots in this pattern.

[ 1 ]

Question 2

[Maximum number: 1]

Here is a sequence of patterns.

Figure for Question 2 — Edexcel IGCSE Math A Foundation

Pattern number 1 is made from 1 white dot.
All other patterns are made from black dots and white dots.

In the space below, draw Pattern number 4

Question 3

[Maximum number: 1]

Here is a sequence of patterns.

Figure for Question 3 — Edexcel IGCSE Math A Foundation

Pattern number 1 is made from 1 white dot.
All other patterns are made from black dots and white dots.

Complete the table for the sequence of patterns.

Table for Question 3 — Edexcel IGCSE Math A Foundation

Question 4

[Maximum number: 1]

Here is a sequence of patterns.

Figure for Question 4 — Edexcel IGCSE Math A Foundation

Pattern number 1 is made from 1 white dot.
All other patterns are made from black dots and white dots.

One pattern in the sequence is made with exactly 20 black dots.

Work out the total number of dots in this pattern.

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