Arithmetic Sequences Explicit Rule

Arithmetic Sequences Explicit Rule

9th Grade

14 Qs

quiz-placeholder

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Arithmetic Sequences Explicit Rule

Arithmetic Sequences Explicit Rule

Assessment

Quiz

Mathematics

9th Grade

Hard

A.12(C) TEKS, A.12(D) TEKS

Standards-aligned

Created by

Anthony Clark

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Create the explicit formula for the sequence:

2, 8, 14, ...

y=2+6x

y=-6+6x

y=6x-4

y=4-6x

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the common difference: 29, 21, 13, 5, ...

d = -10

d = -9

d = -8

d = -7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

-1, 7, 15

-5, 2, 9

3, 12, 21

-65, -73, -81

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which formula below shows how to write an EXPLICIT formula for an arithmetic sequence?

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

f(1) = 1st term

d = common difference

n = position of a term

f(n) = value of nth term

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

f(1) = 1st term

d = common difference

n = position of a term

f(n) = value of nth term

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

f(1) = 1st term

d = common difference

n = position of a term

f(n) = value of nth term

Answer explanation

Remember... An explicit rule is:

"First Term Common Difference (n-1) DONE"

Tags

A.12(D) TEKS

5.

MATCH QUESTION

1 min • 1 pt

Match the following explicit rules to the sequence they each describe:

17, 13, 9, 5, ...

f(n) = -4 - 17(n-1)

-4, -21, -38, -55, ...

f(n)= 13 + 4(n-1)

4, 17, 30, 43, ...

f(n)= 4 + 13(n-1)

13, 17, 21, 25, ...

f(n)= 17 - 4(n-1)

Answer explanation

Remember... An explicit rule is:

"First Term Common Difference (n-1) DONE"

Tags

A.12(D) TEKS

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which arithmetic sequence is described by this explicit rule?

-6, 8, 22, 36, ...

-6, -14, -22, -30, ...

-6, 2, 10, 18, ...

8, 2, -4, -10, ...

Tags

A.12(C) TEKS

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which arithmetic sequence is described by this explicit rule?

12, 4, -4, -12, ...

12, 16, 20, 24, ...

4, 16, 28, 40, ...

answer not here

Tags

A.12(C) TEKS

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