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Mathematics

10th Grade

CCSS covered

Geometric Sequences Recursive Definition
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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

Write the recursive definition for the following geometric sequence:

an=48(32)n−1a_n=48\left(\frac{3}{2}\right)^{n-1}

an=48(52)n−1a_n=48\left(\frac{5}{2}\right)^{n-1}

a1=48a_1=48

an=an−1×(53)a_n=a_{n-1}\times\left(\frac{5}{3}\right)

a1=48a_1=48

an=an−1×(32)a_n=a_{n-1}\times\left(\frac{3}{2}\right)

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

Which geometric sequence matches the recursive definition of:

-24, 6, -1.5, 0.375

-24, 96, -384, 1536

-24, -6, -1.5, -0.375...

-24, -96, -384, -1536

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

Given the recursive definition determine the explicit rule:

an=8(−2)na_n=8\left(-2\right)^n

an=−2(8)na_n=-2\left(8\right)^n

an=−2(8)n−1a_n=-2\left(8\right)^{n-1}

an=8(−2)n−1a_n=8\left(-2\right)^{n-1}

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

Determine a15a_{15} for the following geometric sequence: 

0.976562

0.488281

0.12207

0.244141

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which formula is used to find the recursive equation for geometric sequences?

an = an-1 + d

an = an-1 * r

an = a1 + d(n-1)

an = a1 * rn-1

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which recursive formula best describes the sequence
2, -6, 18, - 54... 

an=an-1* -4, a1 = 2

an=an-1* - 8, a1 =2

an=an-1* 2, a1 = -3

an=an-1* -3, a1 =2

Tags

CCSS.HSF.IF.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which formula is the recursive equation for a geometric sequence?

a1=a_1=

an=a1+d(n−1)a_n=a_1+d\left(n-1\right)

an=a1⋅rn−1a_n=a_1\cdot r^{n-1}

a1=a_1=
an=d+an−1a_n=d+a_{n-1}

Tags

CCSS.HSF.BF.A.2

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