Recursive and Explicit Sequences

Recursive and Explicit Sequences

9th - 12th Grade

10 Qs

quiz-placeholder

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Recursive and Explicit Sequences

Recursive and Explicit Sequences

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.BF.A.2

Standards-aligned

Created by

Barbara White

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. 
What is the meaning of a4?
There are 60 seats in the first row
There are 84 seats in the fourth row
There are 82 seats in the fourth row
There are 76 seats in the row before the fourth row

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.


What is the explicit form of this sequence?

f(x) = 60(8)x , where x = 0,1,2,...

an = 60(8)n, where n = 0,1,2,...

an = 8n + 60, where n = 0,1,2,..

an = 60 + 8(n-1), where n= 1,2,3,...

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.  How many seats are in the 6th row?
100
84
92
52

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the recursive form of the sequence

-56, -60, -64, .......

an+1 = an - 56, n = 1,2,3,...

a1 = -4

an+1 = an - 4, n=1,2,3,...

a1 = -56

an+1 = an - 4, n=0,1,2,...

a1=-56

an+1 = an - 56, n = 0,1,2,...

a1 = -4

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the recursive formula for 6, 17, 28, 39, 50....
an=an-1+11
a1=6
an=an-1-4
a1=6
an=an-1+9
a1=6
an=an-1+6
a1=6

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the recursive formula, find the first four terms:

an+1 = an + 5

a1 = -16

-16, -21, -26, -31

5, -11, -27, -43

-16, -80, -500, -200

-16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the common difference.
97, 86, 75, 64, ...
8
11
-11
-8

Tags

CCSS.HSF.BF.A.2

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