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Arithmetic/Geometric Sequences

Total questions: 6

Worksheet time: 5mins

Name
Class
Date
1.

Arithmetic sequences are​ (a)   patterns, which make them ​ (b)   functions

Geometric sequences are ​ (c)   patterns, which make them ​ (d)   functions

Choose from the below words
addition
linear
multiplication
exponential
2.

A sequence is shown...

3,6,12,24,48,...3,6,12,24,48,...

Which function, f(n), could be used to find the nth term of the sequence?

a)

f(n)=23n1f\left(n\right)=2\cdot3^{n-1}

b)

f(n)=23nf\left(n\right)=2\cdot3^n

c)

f(n)=6nf\left(n\right)=6^n

d)

f(n)=32n1f\left(n\right)=3\cdot2^{n-1}

e)

f(n)=32nf\left(n\right)=3\cdot2^n

3.

Which of the following is an arithmetic sequence with common difference 2?

a)

1, -3, 5, -7, 9,...

b)

2, 4, 8, 16, 32,...

c)

10, 8, 6, 4, 2,...

d)

13, 15, 17, 19, 21,...

4.

The sequence below shows the total number of days Francisco had used his gym membership at the end of weeks 1,2,3, and 4.

4,9,14,19,...4,9,14,19,...

Assuming the pattern continued, which function could be used to find the total number of days Francisco had used his gym membership at the end of week nn ?

a)

f(n)=n+5f\left(n\right)=n+5

b)

f(n)=5n1f\left(n\right)=5n-1

c)

f(n)=5n+4f\left(n\right)=5n+4

d)

f(n)=n2f\left(n\right)=n^2

5.

What is the expression in terms of n for the sequence an  as defined in the input-output table?

a)

an=1+10na_n=1+10n

b)

an=4+na_n=4+n

c)

an=5+na_n=5+n

d)

an=16+5na_n=16+5n

6.

The table shows the beginning of a sequence. Use it find the term value for term number 10

only type a number

(a)