CAIE IGCSE Mathematics Core C2.7 Sequences Topic Practice

CourseCourseConceptConceptDocumentDocument

Covered syllabus points

C2.7.1 Continue a given number sequence or pattern.C2.7.2 Recognise patterns in sequences, including the term-to-term rule, andC2.7.3 Find and use the nth term of the following sequences: (a) linear (b)

Question 1

[Maximum number: 12]

The grid shows the first three diagrams in a sequence.
Each diagram is made using sticks.

Figure for Question 1 — CAIE IGCSE Mathematics Core

Diagram 1
Diagram 2
Diagram 3

Question (a)

(a)

On the grid, draw Diagram 4.

Diagram 4

Diagram 4

[ 1 ]

Question (b)

(b)

Complete the table.

Table for Question (b) — CAIE IGCSE Mathematics Core
[ 2 ]

Question (c)

(c)

Find an expression, in terms of n, for the number of sticks in Diagram n.

[ 2 ]

Question (d)

(d)

One of the diagrams has 73 sticks.

Work out its Diagram number.

Diagram

[ 2 ]

Question (e)

(e)

Show that the total number of sticks needed to make the first 3 diagrams is 27 .

[ 1 ]

Question (f)

(f)

Tobias wants to make the first 10 diagrams.

He has already made the first 3 diagrams.
He has 240 sticks left to make the remaining 7 diagrams.
Work out how many sticks he has left when all 10 diagrams are made.

[ 4 ]

Question 2

[Maximum number: 6]

Question (a)

(a)

These are the first five terms of a sequence.
7abc317\quad a\quad b\quad c\quad31
In the sequence, the same number is added each time to obtain the next term.
Find the value of each of the terms a, b and c.
a=b=c=\begin{aligned}a&=\\b&=\\c&=\end{aligned}

[ 2 ]

Question (b)

(b)

These are the first five terms of another sequence.
4111825324\quad11\quad18\quad25\quad32

[ 4 ]

Question (i)

(i)

Find the nth term of the sequence.

[ 2 ]

Question (ii)

(ii)

Show that 361 is a term in the sequence.

[ 2 ]
All question bank results loaded