Given the explicit formula for a geometric sequence find the recursive formula. a n = − 2 ⋅ 6 n − 1 a_n=-2\cdot6^{n-1} a n = − 2 ⋅ 6 n − 1

a n = a n − 1 ⋅ 6 , a 1 = − 2 a_n=a_{n-1}\cdot6,\ a_1=-2 a n = a n − 1 ⋅ 6 , a 1 = − 2

a n = a n − 1 ⋅ − 6 , a 1 = − 2 a_n=a_{n-1}\cdot-6,\ a_1=-2 a n = a n − 1 ⋅ − 6 , a 1 = − 2

a n = a n − 1 ⋅ − 3 , a 1 = − 3 a_n=a_{n-1}\cdot-3,\ a_1=-3 a n = a n − 1 ⋅ − 3 , a 1 = − 3

a n = a n − 1 ⋅ 6 , a 1 = 2 a_n=a_{n-1}\cdot6,\ a_1=2 a n = a n − 1 ⋅ 6 , a 1 = 2

Given the explicit formula for a geometric sequence find the recursive formula. a n = − 3 ⋅ ( 1 2 ) n − 1 a_n=-3\cdot\left(\frac{1}{2}\right)^{n-1} a n = − 3 ⋅ ( 2 1 ) n − 1

a n = a n − 1 ⋅ 1 2 , a 1 = − 3 a_n=a_{n-1}\cdot\frac{1}{2},\ a_1=-3 a n = a n − 1 ⋅ 2 1 , a 1 = − 3

a n = a n − 1 ⋅ − 2 , a 1 = 4 a_n=a_{n-1}\cdot-2,\ a_1=4 a n = a n − 1 ⋅ − 2 , a 1 = 4

a n = a n − 1 ⋅ − 1 2 , a 1 = 4 a_n=a_{n-1}\cdot-\frac{1}{2},\ a_1=4 a n = a n − 1 ⋅ − 2 1 , a 1 = 4

a n = a n − 1 ⋅ 1 2 , a 1 = − 4 a_n=a_{n-1}\cdot\frac{1}{2},\ a_1=-4 a n = a n − 1 ⋅ 2 1 , a 1 = − 4

Given the recursive formula for a geometric sequence find the explicit formula. a n = a n − 1 ⋅ − 6 , a 1 = − 4 a_n=a_{n-1}\cdot-6,\ a_1=-4 a n = a n − 1 ⋅ − 6 , a 1 = − 4

a n = − 4 ⋅ ( − 6 ) n − 1 a_n=-4\cdot\left(-6\right)^{n-1} a n = − 4 ⋅ ( − 6 ) n − 1

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

a n = − 12 ⋅ 3 n − 1 a_n=-12\cdot3^{n-1} a n = − 1 2 ⋅ 3 n − 1

a n = − 4 ⋅ 6 n − 1 a_n=-4\cdot6^{n-1} a n = − 4 ⋅ 6 n − 1

Given the recursive formula for a geometric sequence find the explicit formula. a n = a n − 1 ⋅ 6 , a 1 = − 3 a_n=a_{n-1}\cdot6,\ a_1=-3 a n = a n − 1 ⋅ 6 , a 1 = − 3

a n = − 3 ⋅ 6 n − 1 a_n=-3\cdot6^{n-1} a n = − 3 ⋅ 6 n − 1

a n = 3 ⋅ ( 6 ) n − 1 a_n=3\cdot\left(6\right)^{n-1} a n = 3 ⋅ ( 6 ) n − 1

a n = 3 ⋅ ( − 6 ) n − 1 a_n=3\cdot\left(-6\right)^{n-1} a n = 3 ⋅ ( − 6 ) n − 1

a n = − 3 ⋅ 5 n − 1 a_n=-3\cdot5^{n-1} a n = − 3 ⋅ 5 n − 1

U4D2 Explicit & Recursive Geometric Sequences

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.A.2

Standards-aligned

Meredith Lamb

Used 33+ times

FREE Resource

-12

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the common ratio of the geometric sequence.
3, 9, 27, 81,...

9

6

3

81

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the three terms in the sequence after the last one given.
243, 81, 27, 9, _, _, ___,...

$3,\ \frac{1}{3},\ \frac{1}{9}$

$3,\ 9,\ 27$

$3,\ 6,\ 1$

$3,\ 1,\ \frac{1}{3}$

Tags

CCSS.HSF.BF.A.2

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U4D2 Explicit & Recursive Geometric Sequences

25 questions

For each sequence, state if it is arithmetic, geometric, or neither.
2, 10, 50, 250, 1250,...

For each sequence, state if it is arithmetic, geometric, or neither.
27, 30, 33, 36, 39,...

For each sequence, state if it is arithmetic, geometric, or neither.
$26,\ 14,\ 8,\ 5,\ \frac{7}{2},...$

For each sequence, state if it is arithmetic, geometric, or neither.
$-1,\ 3,\ -9,\ 27,\ -81,...$

Determine the common ratio of the geometric sequence.
-2, 8, -32, 128

Determine the common ratio of the geometric sequence.
3, 9, 27, 81,...

Find the three terms in the sequence after the last one given.
243, 81, 27, 9, _, _, ___,...

Find the three terms in the sequence after the last one given.
-3, 9, -27, 81, _, _, ___,...

Given the formula for a geometric sequence find the common ratio.
$a_n=-4\left(-2\right)^{n-1}$

Given the formula for a geometric sequence find the common ratio.
$a_n=a_{n-1}\cdot6,\ a_1=3$

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U4D2 Explicit & Recursive Geometric Sequences

25 questions

For each sequence, state if it is arithmetic, geometric, or neither.2, 10, 50, 250, 1250,...

For each sequence, state if it is arithmetic, geometric, or neither.27, 30, 33, 36, 39,...

For each sequence, state if it is arithmetic, geometric, or neither. 26, 14, 8, 5, 72,...26,\ 14,\ 8,\ 5,\ \frac{7}{2},...26, 14, 8, 5, 27​,...

For each sequence, state if it is arithmetic, geometric, or neither. −1, 3, −9, 27, −81,...-1,\ 3,\ -9,\ 27,\ -81,...−1, 3, −9, 27, −81,...

Determine the common ratio of the geometric sequence.-2, 8, -32, 128

Determine the common ratio of the geometric sequence.3, 9, 27, 81,...

Find the three terms in the sequence after the last one given.243, 81, 27, 9, ___, ___, ___,...

Find the three terms in the sequence after the last one given.-3, 9, -27, 81, ___, ___, ___,...

Given the formula for a geometric sequence find the common ratio. an=−4(−2)n−1a_n=-4\left(-2\right)^{n-1}an​=−4(−2)n−1

Given the formula for a geometric sequence find the common ratio. an=an−1⋅6, a1=3a_n=a_{n-1}\cdot6,\ a_1=3an​=an−1​⋅6, a1​=3

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For each sequence, state if it is arithmetic, geometric, or neither.
2, 10, 50, 250, 1250,...

For each sequence, state if it is arithmetic, geometric, or neither.
27, 30, 33, 36, 39,...

For each sequence, state if it is arithmetic, geometric, or neither.
$26,\ 14,\ 8,\ 5,\ \frac{7}{2},...$

For each sequence, state if it is arithmetic, geometric, or neither.
$-1,\ 3,\ -9,\ 27,\ -81,...$

Determine the common ratio of the geometric sequence.
-2, 8, -32, 128

Determine the common ratio of the geometric sequence.
3, 9, 27, 81,...

Find the three terms in the sequence after the last one given.
243, 81, 27, 9, _, _, ___,...

Find the three terms in the sequence after the last one given.
-3, 9, -27, 81, _, _, ___,...

Given the formula for a geometric sequence find the common ratio.
$a_n=-4\left(-2\right)^{n-1}$

Given the formula for a geometric sequence find the common ratio.
$a_n=a_{n-1}\cdot6,\ a_1=3$