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

a 1 = 4 a_1=4 a 1 = 4 , a n = a ( n − 1 ) + 8 a_n=a_{\left(n-1\right)}+8 a n = a ( n − 1 ) + 8

a 1 = 4 a_1=4 a 1 = 4 , a n = a ( n − 1 ) ⋅ 3 a_n=a_{\left(n-1\right)}\cdot3 a n = a ( n − 1 ) ⋅ 3

a 1 = 4 a_1=4 a 1 = 4 , a n = a ( n − 1 ) − 8 a_n=a_{\left(n-1\right)}-8 a n = a ( n − 1 ) − 8

a_1=4 a 1 = 4 , a n = a ( n − 1 ) ⋅ 9 a_n=a_{\left(n-1\right)}\cdot9 a n = a ( n − 1 ) ⋅ 9

Which of the following recursive formulas represents the given sequence. 7, 14, 28, 56, 112, ...

a 1 = 7 a_1=7 a 1 = 7 , a n = a ( n − 1 ) ⋅ 2 a_n=a_{\left(n-1\right)}\cdot2 a n = a ( n − 1 ) ⋅ 2

a 1 = 7 a_1=7 a 1 = 7 , a n = a ( n − 1 ) + 7 a_n=a_{\left(n-1\right)}+7 a n = a ( n − 1 ) + 7

a 1 = 7 a_1=7 a 1 = 7 , a n = a ( n − 1 ) ⋅ 7 a_n=a_{\left(n-1\right)}\cdot7 a n = a ( n − 1 ) ⋅ 7

a 1 = 7 a_1=7 a 1 = 7 , a n = a ( n − 1 ) + 14 a_n=a_{\left(n-1\right)}+14 a n = a ( n − 1 ) + 1 4

Sequences - Recursive Formulas

Authored by Rebecca Tuley

Mathematics

9th Grade

CCSS covered

Used 227+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.

4, 9, 14, 19, 24, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.

6, 12, 24, 48, 96, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.

200, 100, 50, 25, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.

15, 13, 11, 9, 7, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.

1, 12, 23, 34, 45, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.

7, 28, 112, 448, 1792, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the common difference for the given arithmetic sequence.

3, 10, 17, 24, 31, ...

d = -7

d = -8

d = 7

d = 3

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the common ratio for the given geometric sequence.

2, 6, 18, 54, 162, ...

r = 4

r = 3

r = $\frac{1}{4}$

r = 12

Tags

CCSS.HSF.BF.A.2

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the common ratio for the given geometric sequence.

48, 12, 3, 0.75, ...

r = 4

r = -36

r = $\frac{1}{4}$

r = 3

Tags

CCSS.HSF.BF.A.2

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Sequences - Recursive Formulas

Determine if the following sequence is arithmetic or geometric.4, 9, 14, 19, 24, ...

Determine if the following sequence is arithmetic or geometric.6, 12, 24, 48, 96, ...

Determine if the following sequence is arithmetic or geometric.200, 100, 50, 25, ...

Determine if the following sequence is arithmetic or geometric.15, 13, 11, 9, 7, ...

Determine if the following sequence is arithmetic or geometric.1, 12, 23, 34, 45, ...

Determine if the following sequence is arithmetic or geometric. 7, 28, 112, 448, 1792, ...

Identify the common difference for the given arithmetic sequence. 3, 10, 17, 24, 31, ...

Identify the common difference of the given arithmetic sequence. 5, 1, -3, -7, ...

Identify the common ratio for the given geometric sequence. 2, 6, 18, 54, 162, ...

Identify the common ratio for the given geometric sequence. 48, 12, 3, 0.75, ...

Access all questions and much more by creating a free account

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Discover more resources for Mathematics

Determine if the following sequence is arithmetic or geometric.

4, 9, 14, 19, 24, ...

Determine if the following sequence is arithmetic or geometric.

6, 12, 24, 48, 96, ...

Determine if the following sequence is arithmetic or geometric.

200, 100, 50, 25, ...

Determine if the following sequence is arithmetic or geometric.

15, 13, 11, 9, 7, ...

Determine if the following sequence is arithmetic or geometric.

1, 12, 23, 34, 45, ...

Determine if the following sequence is arithmetic or geometric.

7, 28, 112, 448, 1792, ...

Identify the common difference for the given arithmetic sequence.

3, 10, 17, 24, 31, ...

Identify the common difference of the given arithmetic sequence.

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

Identify the common ratio for the given geometric sequence.

2, 6, 18, 54, 162, ...

Identify the common ratio for the given geometric sequence.

48, 12, 3, 0.75, ...