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Sequences and series

Authored by Wayground Content

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Sequences and series
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

-5, -1, 3, 7, 11
What is the recursive rule?

  an=an−1 + 4a_n=a_{n-1}\ +\ 4  

  an=an−1−9a_n=a_{n-1}-9 

 an=an−1−5a_n=a_{n-1}-5  

 an=an−1−4a_n=a_{n-1}-4  

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the recursive formula: 
-3, -9, -15, -21, ...

an = an-1 - 6, a1=-5
an = an-1 - 6, a1=-11
an = an-1 - 6, a1=-3
an = an-1-4, a1 = -11

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An arithmetic sequence is shown...

8, 14, 20, 26, 32...

What is the recursive formula that was used to create this sequence?

an=a(n−1)+8 ; a1=6a_n=a_{\left(n-1\right)}+8\ ;\ a_1=6

an=a(n+1)+6; a1=8a_n=a_{\left(n+1\right)}+6;\ a_1=8

an=a(n+1)+ 8 ; a1=6a_n=a_{\left(n+1\right)}+\ 8\ ;\ a_1=6

an=a(n−1)+6 ; a1 = 8a_n=a_{\left(n-1\right)}+6\ ;\ a_{1\ }=\ 8

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Select the recursive formulas.

an = r • an-1

an= a1 + d (n - 1)

an= an-1 +d

an= a1 • rn-1

Tags

CCSS.HSF.BF.A.2

5.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Given the recursive formula, find a99a_{99}   an = an-1 - 5 a1 = 22

(a)  

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 10 pts

Write the recursive definition for the following geometric sequence:

48, 72, 108, 162, 243...

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

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the next 2 terms in the following pattern
100, 77, 54, 31... 

18, -3
8, -13
15, -7
5, -18

Tags

CCSS.HSF.BF.A.2

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