Free Printable Revision: Sequences

1.

Definition of SEQUENCE

a)

A set of number written following a simple rule

b)

A set of number written at random

2.

Find the first three terms of the sequence,
$T_n=5\left(2\right)^n$

a)

$5,\ 10,\ 15$

b)

$10,\ 20,\ 30$

c)

$10,\ 20,\ 40$

d)

$5,\ 10,\ 20$

3.

$2,\ 5,\ 8,\ 11,\ 14...$

a)

Arithmetic Sequence

b)

Geometric Sequence

c)

None of the above

4.

$1,\ 8,\ 27,\ 64,\ ...$

a)

Arithmetic Sequence

b)

Geometric Sequence

c)

None of the above

5.

$\frac{1}{4},\ \frac{1}{6},\ \frac{1}{9},\ \frac{2}{27},\ ...$

a)

Arithmetic Sequence

b)

Geometric Sequence

c)

None of the above

6.

The sixth term of an arithmetic sequence is 22 and the tenth term is 38.

Find the first term and the common difference.

a)

$a=4,\ d=4$

b)

$a=2,\ d=2$

c)

$a=4,\ d=2$

d)

$a=2,\ d=4$

7.

$7,\ 13,\ 19,\ ...\ ,\ 307$

Find the number of terms in the arithmetic sequence.

a)

50

b)

51

c)

52

d)

53

8.

The $n^{th}$ term of an arithmetic sequence is $40+7n$ .
Which term of the sequence is 215?

a)

23rd term

b)

24th term

c)

25th term

d)

26th term

9.

$24,\ 21,\ 18,\ 15,\ ...$
Find the $n^{th}$ term and the $15^{th}$ term?

a)

$T_n=27-3n\ ;\ \ T_{15}=\ -18$

b)

$T_n=27+3n\ ;\ \ T_{15}=\ -18$

c)

$T_n=24-3n\ ;\ \ T_{15}=\ -18$

d)

$T_n=24-3n\ ;\ \ T_{15}=\ -21$

10.

Find the sum of the following
$3+5+7+...$ to 60 terms.

a)

3700

b)

3710

c)

3720

d)

3730

11.

The second term is 3 and the eighth term is -21.

Find the first term and common difference of the sequence.

a)

$a=7,\ d=-4$

b)

$a=7,\ d=4$

c)

$a=-7,\ d=-4$

d)

$a=6,\ d=-3$

12.

$1,\ 3,\ 9,\ 27,\ ...$

State the common ratio of the sequence.

a)

$r=3$

b)

$r=\frac{1}{3}$

13.

$T_n=\left(\frac{2}{3}\right)^{n-1}$
Choose CORRECT statement(s).

a)

Geometric Sequence

b)

Common ratio, $r=\frac{2}{3}$

c)

$T_2=\frac{2}{3}$

d)

$T_1=\frac{2}{3}$

14.

$4,\ -8,\ 16,\ -32,\ ...$
Find the $n^{th}$ term and the $10^{th}$ term of the sequence.

a)

$T_n=4\left(-2\right)^n\ \ ;\ T_{10}=4096$

b)

$T_n=4\left(-2\right)^{n-1}\ \ ;\ T_{10}=-2048$

Revision: Sequences

Total questions: 14

Worksheet time: 7mins

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