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Edexcel IGCSE Math A 3.1 Sequences Question Bank

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

3.1 Sequences question 1

[Maximum number: 3]

Here is a sequence of patterns.

Figure for Question 3.1 Sequences 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

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

[ 1 ]

Question (c)

(c)

Work out the total number of dots in this pattern.

[ 1 ]
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