Free Printable Problems Involving Sequences

1.

Which of the following is used to find the nth term of an ARITHMETIC sequence?

a)

$a_n=a_1r^{n-1}$

b)

$a_n=a_1+\left(n-1\right)d$

c)

$S_n=\frac{n}{2}\left(a_1+a_n\right)$

2.

Which of the following is NOT a formula to find the sum of the terms of arithmetic sequence

a)

$S_n=\frac{n}{2}\left(2a_1+\left(n-1\right)d\right)$

b)

$S_n=a_1n\ \ \ \ \ ,\ r\ =\ 1$

c)

$S_n=\frac{n}{2}\left(a_1+a_n\right)$

3.

Which of the following is used to find the sum of the terms of geometric sequence if r is equal to 1?

a)

$S_n=\frac{a_1\left(1-r^n\right)}{1-r},\ r\ \ne1$

b)

$S_n=a_1n\ \ \ \ \ ,\ r\ =\ 1$

c)

$S_n=\frac{n}{2}\left(a_1+a_n\right)$

4.

Which of the following is used to find the sum of the terms of geometric sequence if r is not equal to 1?

a)

$S_n=\frac{a_1\left(1-r^n\right)}{1-r},\ r\ \ne1$

b)

$S_n=a_1n\ \ \ \ \ ,\ r\ =\ 1$

c)

$S_n=\frac{a_1}{1-r}$

5.

A construction company will be penalized each day of delay in construction for bridge. The penalty will be Php 1 000 for the first day and will increase by Php 1 500 for each following day. How much is the penalty on the 4th day of being late?

a)

4 500

b)

5 000

c)

5 500

6.

A construction company will be penalized each day of delay in construction for bridge. The penalty will be Php 1 000 for the first day and will increase by Php 1 500 for each following day. How much is the penalty on the 4th day of being late?

a)

4 500

b)

5 000

c)

5 500

7.

A construction company will be penalized each day of delay in construction for bridge. The penalty will be Php 1 000 for the first day and will increase by Php 1 500 for each following day. How much is the total penalty for 5 days late?

a)

7 000

b)

20 000

c)

21 000

8.

This problem involves ___________ sequence.

a)

Fibonacci

b)

Geometric

c)

Harmonic

9.

Which of the following is used to find the nth term of a GEOMETRIC sequence?

a)

$a_n=a_1r^{n-1}$

b)

$a_n=a_1+\left(n-1\right)d$

c)

$S_n=\frac{n}{2}\left(a_1+a_n\right)$

Problems Involving Sequences

Total questions: 9

Worksheet time: 8mins

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