Write a recursive rule for the sequence 17, 1, -15, -31 . . .

a n = a n − 1 − 16 a_n=a_{n-1}-16 a n = a n − 1 − 1 6

a n = a n − 1 + 16 a_n=a_{n-1}+16 a n = a n − 1 + 1 6

a n = a n − 1 − 17 a_n=a_{n-1}-17 a n = a n − 1 − 1 7

a n = a n − 1 − 15 a_n=a_{n-1}-15 a n = a n − 1 − 1 5

Write the recursive formula for the following sequence? 6, 4, 2, 0, . . .

a n = a n − 1 − 2 a_n=a_{n-1}-2 a n = a n − 1 − 2

a n = a n − 6 a_n=a_n-6 a n = a n − 6

a n = a n − 1 a_n=a_n-1 a n = a n − 1

a n = a n − 1 + 2 a_n=a_{n-1}+2 a n = a n − 1 + 2

Write the recursive formula for 6, 17, 28, 39, 50....

a n = a n − 1 + 11 a_n=a_{n-1}+11 a n = a n − 1 + 1 1

a n = a n − 1 − 4 a_n=a_{n-1}-4 a n = a n − 1 − 4

a n = a n − 1 + 9 a_n=a_{n-1}+9 a n = a n − 1 + 9

a n = a n − 1 + 6 a_n=a_{n-1}+6 a n = a n − 1 + 6

Which of the following recursive formulas represents the given sequence. 4, 12, 20, 28, 36, ...

a n = a ( n − 1 ) + 8 a_n=a_{\left(n-1\right)}+8 a n = a ( n − 1 ) + 8

a n = a ( n − 1 ) ⋅ 3 a_n=a_{\left(n-1\right)}\cdot3 a n = a ( n − 1 ) ⋅ 3

a n = a ( n − 1 ) − 8 a_n=a_{\left(n-1\right)}-8 a n = a ( n − 1 ) − 8

a n = a ( n − 1 ) ⋅ 9 a_n=a_{\left(n-1\right)}\cdot9 a n = a ( n − 1 ) ⋅ 9

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

a n = 3 ⋅ 2 n − 1 a_n\ =3\cdot2^{n-1} a n = 3 ⋅ 2 n − 1

a n = 3 + 2 ( n − 1 ) a_n\ =3+2\left(n-1\right) a n = 3 + 2 ( n − 1 )

a n = 3 ( 2 ) n a_n=3\left(2\right)^n a n = 3 ( 2 ) n

a n = 3 + 2 n a_n=3+2^n a n = 3 + 2 n

The first three terms of an arithmetic sequence are 3, 11, and 19. Which function represents the sequence?

a n = 3 + 8 ( n − 1 ) a_n=3+8\left(n-1\right) a n = 3 + 8 ( n − 1 )

a n = 8 + 3 ( n − 1 ) a_n=8+3\left(n-1\right) a n = 8 + 3 ( n − 1 )

a n = 8 ⋅ 3 ( n − 1 ) a_n=8\cdot3\left(n-1\right) a n = 8 ⋅ 3 ( n − 1 )

a n = 3 + 8 n a_n=3+8n a n = 3 + 8 n

A geometric sequence has as its first three terms 48, 12, and 3. Which function represents the sequence?

a n = 48 ( 0.25 ) n − 1 a_n=48\left(0.25\right)^{n-1} a n = 4 8 ( 0 . 2 5 ) n − 1

a n = 48 − 36 ( n − 1 ) a_n=48-36\left(n-1\right) a n = 4 8 − 3 6 ( n − 1 )

a n = 48 ⋅ 4 ( n − 1 ) a_n=48\cdot4\left(n-1\right) a n = 4 8 ⋅ 4 ( n − 1 )

a n = 3 × 4 ( n − 1 ) a_n=3\times4\left(n-1\right) a n = 3 × 4 ( n − 1 )

Create the formula for the geometric sequence: -2, 10, -50, 250...

a n = − 2 ( − 5 ) n − 1 a_n=-2\left(-5\right)^{n-1} a n = − 2 ( − 5 ) n − 1

a n = 2 ( − 5 ) n − 1 a_n=2\left(-5\right)^{n-1} a n = 2 ( − 5 ) n − 1

a n = − 2 ( 5 ) n − 1 a_n=-2\left(5\right)^{n-1} a n = − 2 ( 5 ) n − 1

a n = 2 ( 5 ) n − 1 a_n=2\left(5\right)^{n-1} a n = 2 ( 5 ) n − 1

Create the formula for the geometric sequence: 1, 4, 16, 64...

a n = 1 ( 4 ) n − 1 a_n=1\left(4\right)^{n-1} a n = 1 ( 4 ) n − 1

a n = 3 n − 1 a_n=3n-1 a n = 3 n − 1

a n = 2 ( 2 ) n − 1 a_n=2\left(2\right)^{n-1} a n = 2 ( 2 ) n − 1

a n = 1 + 3 ( n − 1 ) a_n=1+3\left(n-1\right) a n = 1 + 3 ( n − 1 )

Find the explicit formula: -3, -33, -63, -93, ...

a n = − 3 − 30 ( n − 1 ) a_n=-3-30\left(n-1\right) a n = − 3 − 3 0 ( n − 1 )

a n = − 3 + 30 ( n − 1 ) a_n=-3+30\left(n-1\right) a n = − 3 + 3 0 ( n − 1 )

a n = − 30 − 3 ( n − 1 ) a_n=-30-3\left(n-1\right) a n = − 3 0 − 3 ( n − 1 )

a n = − 30 + 3 ( n − 1 ) a_n=-30+3\left(n-1\right) a n = − 3 0 + 3 ( n − 1 )

Find the explicit formula: -23, -16, -9, -2, ...

a n = − 23 + 7 ( n − 1 ) a_n=-23+7\left(n-1\right) a n = − 2 3 + 7 ( n − 1 )

a n = − 23 − 7 ( n − 1 ) a_n=-23-7\left(n-1\right) a n = − 2 3 − 7 ( n − 1 )

a n = 7 − 23 ( n − 1 ) a_n=7-23\left(n-1\right) a n = 7 − 2 3 ( n − 1 )

a n = 7 + 23 ( n − 1 ) a_n=7+23\left(n-1\right) a n = 7 + 2 3 ( n − 1 )

Arithmetic and Geometric Sequences

Quiz

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.A.2, HSF.IF.A.3, HSF.LE.A.2

Standards-aligned

Michele O'Farrell

Used 11+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this sequence arithmetic or geometric?
26, 22, 18, 14, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this sequence arithmetic or geometric?
2, -4, 8, -16, 32, -64

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the common ratio of this sequence? (Hint: this is the value of r.)
2, 10, 50, 250, 1250

1,250

5

10

50

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the common difference in this sequence? (Hint: this is the value of d.)
48, 32, 16, 0, -16, -32

1/2

2

-8

-16

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this sequence arithmetic or geometric?
14, 22, 30, 38, 46, 54, 62

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the common ratio in this sequence? (Hint: this is the value of r.)
96, 48, 24, 12, 6, 3, 1.5

1/2

2

12

24

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

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Arithmetic and Geometric Sequences

30 questions

Is this sequence arithmetic or geometric?
26, 22, 18, 14, ...

Is this sequence arithmetic or geometric?
2, -4, 8, -16, 32, -64

What is the common ratio of this sequence? (Hint: this is the value of r.)
2, 10, 50, 250, 1250

What is the common difference in this sequence? (Hint: this is the value of d.)
48, 32, 16, 0, -16, -32

Is this sequence arithmetic or geometric?
14, 22, 30, 38, 46, 54, 62

What is the common ratio in this sequence? (Hint: this is the value of r.)
96, 48, 24, 12, 6, 3, 1.5

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

Which kind of sequence has a common difference?

What is the common ratio of the geometric sequence below? (Hint: this is the value of r.)
5, 25, 125, 625...

What is the common difference of the arithmetic sequence below? (Hint: this is the value of d.)
-6, -1, 4, 9...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Arithmetic and Geometric Sequences

30 questions

Is this sequence arithmetic or geometric?26, 22, 18, 14, ...

Is this sequence arithmetic or geometric?2, -4, 8, -16, 32, -64

What is the common ratio of this sequence? (Hint: this is the value of r.)2, 10, 50, 250, 1250

What is the common difference in this sequence? (Hint: this is the value of d.)48, 32, 16, 0, -16, -32

Is this sequence arithmetic or geometric?14, 22, 30, 38, 46, 54, 62

What is the common ratio in this sequence? (Hint: this is the value of r.)96, 48, 24, 12, 6, 3, 1.5

What kind of sequence is illustrated below? 400, 200, 100, 50, 25, ...

Which kind of sequence has a common difference?

What is the common ratio of the geometric sequence below? (Hint: this is the value of r.)5, 25, 125, 625...

What is the common difference of the arithmetic sequence below? (Hint: this is the value of d.)-6, -1, 4, 9...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Is this sequence arithmetic or geometric?
26, 22, 18, 14, ...

Is this sequence arithmetic or geometric?
2, -4, 8, -16, 32, -64

What is the common ratio of this sequence? (Hint: this is the value of r.)
2, 10, 50, 250, 1250

What is the common difference in this sequence? (Hint: this is the value of d.)
48, 32, 16, 0, -16, -32

Is this sequence arithmetic or geometric?
14, 22, 30, 38, 46, 54, 62

What is the common ratio in this sequence? (Hint: this is the value of r.)
96, 48, 24, 12, 6, 3, 1.5

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

What is the common ratio of the geometric sequence below? (Hint: this is the value of r.)
5, 25, 125, 625...

What is the common difference of the arithmetic sequence below? (Hint: this is the value of d.)
-6, -1, 4, 9...