8.6_Arithmetic & Geometric Sequence using recursive formula

Authored by reema chhetri

Mathematics

8th Grade

8.6_Arithmetic & Geometric Sequence using recursive formula

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the following sequence is arithmetic or geometric.

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

Arithmetic

Geometric

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the following sequence is arithmetic or geometric.

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

Arithmetic

Geometric

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the common difference for the given arithmetic sequence.

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

d = -7

d = -8

d = 7

d = 3

MULTIPLE CHOICE QUESTION

30 sec • 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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

$a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot3$

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

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

undefined , $a_n=a_{\left(n-1\right)}\cdot9$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

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

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

$a_1=7$ , $a_n=a_{\left(n-1\right)}\cdot2$

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

-16, -21, -26, -31

5, -11, -27, -43

-16, -80, -500, -200

-16, -11, -6, -1

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8.6_Arithmetic & Geometric Sequence using recursive formula

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, ...

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

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

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

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

Given the recursive formula, find the first four terms:an = an-1 + 5a1 = -16

Find the 4th term for the sequence defined by a1=9; an=an-1+8

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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, ...

Identify the common difference for the given arithmetic sequence.

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

Identify the common ratio for the given geometric sequence.

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

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

Find the 4th term for the sequence defined by a₁=9; a_n=a_n-1+8