Free Printable UPS 3 Geometric Sequences

1.

Determine the FALSE statement?

I Geometric sequence is an ordered set in which the

ratio between consecutive terms is constant.
II The sum to infinity formulae of a geometric sequence

is given by $S_{\infty}=\frac{a}{1-r},\ \ \ \left|r\right|<1.$

III $m,7m,49m,...$ is a geometric sequence with

common ratio $r=7.$

a)

I

b)

II

c)

III

d)

None of the above.

2.

Determine the positive value of t if the three consecutive terms of the geometric sequence are $4,\ t\$ and $3-t.$

a)

$t=-6$

b)

$t=2$

c)

$t=4$

d)

$t=3$

3.

Find the fifth term of a sequence $2,\ 2y,\ 2y^2,\ ...\ .$

a)

$T_5=2y^5$

b)

$T_5=32y^5$

c)

$T_5=2y^4$

d)

$T_5=16y^4$

4.

Which of the following is TRUE when finding the number of terms in the geometric sequence 2, 16, 128, …, 4194304?

a)

$2\left(8\right)^{n-1}=4194304$

b)

$8\left(2\right)^{n-1}=4194304$

c)

$2\left(2\right)^{n-1}=4194304$

d)

$8\left(8\right)^{n-1}=4194304$

5.

The first term of a geometric sequence is 7 and its common ratio is 2. Which of the following is TRUE when finding the sum of the first eight terms?

a)

$S_8=\frac{7\left(1-2^8\right)}{2-1}$

b)

$S_8=\frac{7\left(2^8-1\right)}{2-1}$

c)

$S_8=\frac{2\left(7^8-1\right)}{7-1}$

d)

$S_8=\frac{8\left(2^7-1\right)}{2-1}$

6.

What is the sum to infinity of the geometric sequence $3,\frac{3}{2},\frac{3}{4},\ ...\ .$

a)

$\frac{1}{2}$

b)

$\frac{3}{2}$

c)

$\frac{1}{6}$

d)

$6$

UPS 3 Geometric Sequences

Total questions: 6

Worksheet time: 18mins

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