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Recursive Formulas Arithmetic Sequences

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Recursive Formulas Arithmetic Sequences
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

an = -2n + 8

a=6, an = an - 1 - 2

a1 = 6, an = an-1 + 2

a1 = 6, an = an-1 - 2

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the recursive formula below, find the first five terms.  
u1 = 3
un = un-1 + 2
where n ≥ 2

3, 5, 7, 9, 11

5, 7, 9, 11, 13

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

an = an-1 + 16

an = an-1 - 17

an = an-1 - 15

an = an-1 - 16

Tags

CCSS.HSF.IF.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the recursive formula for arithmetic sequences?

f(n) = f(n-1) + d

f(n) = f(1) + (n+1)d

f(n) = f(1) + nd

f(n) = f(1)+ (n-2)d

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the recursive formula for the following sequence

Tags

CCSS.HSF.IF.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the recursive formula, find the first four terms:
an = an-1 + 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

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