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  5. 8.2 Arithmetic&geometric Sequences Explicit Edition Practice

8.2 Arithmetic&Geometric Sequences - Explicit Edition - Practice

Authored by Erin Gardner

Mathematics

9th Grade

CCSS covered

Used 26+ times

8.2 Arithmetic&Geometric Sequences - Explicit Edition - Practice
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is the EXPLICIT formula for arithmetic sequences?

an=an−1+d     if     a1=a1a_n=a_{n-1}+d\ \ \ \ \ if\ \ \ \ \ a_1=a_1

an=r⋅an−1     if     a1=a1a_n=r\cdot a_{n-1}\ \ \ \ \ if\ \ \ \ \ a_1=a_1  

an=a1(r)n−1a_n=a_1\left(r\right)^{n-1}  

an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is the EXPLICIT formula for geometric sequences?

an=an−1+d     if     a1=a1a_n=a_{n-1}+d\ \ \ \ \ if\ \ \ \ \ a_1=a_1

an=r⋅an−1     if     a1=a1a_n=r\cdot a_{n-1}\ \ \ \ \ if\ \ \ \ \ a_1=a_1  

an=a1(r)n−1a_n=a_1\left(r\right)^{n-1}  

an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is the RECURSIVE formula for geometric sequences?

an=an−1+d     if     a1=a1a_n=a_{n-1}+d\ \ \ \ \ if\ \ \ \ \ a_1=a_1

an=r⋅an−1     if     a1=a1a_n=r\cdot a_{n-1}\ \ \ \ \ if\ \ \ \ \ a_1=a_1  

an=a1(r)n−1a_n=a_1\left(r\right)^{n-1}  

an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is the RECURSIVE formula for arithmetic sequences?

an=an−1+d     if     a1=a1a_n=a_{n-1}+d\ \ \ \ \ if\ \ \ \ \ a_1=a_1

an=r⋅an−1     if     a1=a1a_n=r\cdot a_{n-1}\ \ \ \ \ if\ \ \ \ \ a_1=a_1  

an=a1(r)n−1a_n=a_1\left(r\right)^{n-1}  

an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  

Tags

CCSS.HSF.BF.A.2

5.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Predict the 100th term in the following sequence:

-9, 3, 15, 27, ...

(a)  

Tags

CCSS.HSF.BF.A.2

6.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Predict the 16th term in the following sequence:

5, 10, 20, 40, ...

(a)  

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the formulas below is the EXPLICT formula that would model the sequence below?

5, 10, 20, 40, ...

an=an−1+5     if     a1=5a_n=a_{n-1}+5\ \ \ \ \ if\ \ \ \ \ a_1=5  

an=2⋅an−1     if     a1=5a_n=2\cdot a_{n-1}\ \ \ \ \ if\ \ \ \ \ a_1=5  

an=5(2)n−1a_n=5\left(2\right)^{n-1}  

an=5+5(n−1)a_n=5+5\left(n-1\right)  

Tags

CCSS.HSF.LE.A.2

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