Free Printable Arithmetic & Geometric Sequences: Terms

1.

Your starting term is 5 and the common difference is 3, write a recursive formula

a)

$a_1=5\ \$ $a_n=a_{\left(n-1\right)}+3$

b)

c)

a_n=a_{\left(n-1\right)}-15

d)

n​=a(n−1)​+3

2.

What does the term $a_1$ represent in explicit and recursive formulas?

a)

The initial term in a sequence (the first number)

b)

The common ratio

c)

The common difference

d)

The term we are trying to find

3.

What does the term $a_n-1$ represent in explicit and recursive formulas?

a)

The initial term in a sequence (the first number)

b)

The common ratio

c)

The term we are trying to find

d)

the term before $a_n$

4.

What does the term $a_n$ represent in explicit and recursive formulas?

a)

The initial term in a sequence (the first number)

b)

The common ratio

c)

The term we are trying to find

d)

the term before $a_n$

5.

What does the term $r$ represent in explicit and recursive formulas?

a)

The initial term in a sequence (the first number)

b)

The number we are multiplying one term by to get to the next term

c)

the common difference

d)

the term before $a_n$

6.

What does the term $d$ represent in explicit and recursive formulas?

a)

The initial term in a sequence (the first number)

b)

The common ratio

c)

the number we are adding or subtracting to every term

d)

the term before $a_n$

7.

Which formula below is appropriate for an explicit geometric sequence?

a)

$a_1=$ # & $a_n=a_{\left(n-1\right)}+d\$

b)

$a_1=$ # & $a_n=a_{\left(n-1\right)}\left(r\right)$

c)

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

d)

$a_n=a_1\left(r^{\left(n-1\right)}\right)$

8.

Which formula below is appropriate for a recursive arithmetic sequence?

a)

$a_1=$ # & $a_n=a_{\left(n-1\right)}+d\$

b)

$a_1=$ # & $a_n=a_{\left(n-1\right)}\left(r\right)$

c)

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

d)

$a_n=a_1\left(r^{\left(n-1\right)}\right)$

9.

Which formula below is appropriate for an explicit arithmetic sequence?

a)

$a_1=$ # & $a_n=a_{\left(n-1\right)}+d\$

b)

$a_1=$ # & $a_n=a_{\left(n-1\right)}\left(r\right)$

c)

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

d)

$a_n=a_1\left(r^{\left(n-1\right)}\right)$

10.

If

a_n

is our current term, what would

a_{\left(n+1\right)}

represent?

a)

The term before our current term

b)

The value of the current term +1

c)

The term after the current term

d)

the current term

Arithmetic & Geometric Sequences: Terms

Total questions: 10

Worksheet time: 50mins

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