Arithmetic, Geometric, and Recursive Sequences

Arithmetic, Geometric, and Recursive Sequences

11th - 12th Grade

17 Qs

quiz-placeholder

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Arithmetic, Geometric, and Recursive Sequences

Arithmetic, Geometric, and Recursive Sequences

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

CCSS
HSF.BF.A.2, HSF.LE.A.2, HSF.LE.A.1

+4

Standards-aligned

Created by

Nikki Upham

Used 27+ times

FREE Resource

17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Which sequence is an arithmetic sequence?

3, 6, 2, 7, ...

3, 6, 12, 24, ...

3, 6, 10, 15, ...

3, 7, 11, 15, ...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a7 ?

-13

-11

-18

-22

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

In a certain arithmetic sequence, a5 = 12 and a6 = 16. What is a1 ?

-8

-4

4

8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The first term of an arithmetic sequence is b and the second term is c. What is the explicit formula to find the nth term of

the sequence?

an = b + (n − 1) c

an = c + (n − 1) b

an = b + (n − 1) (b − c)

an = b + (n − 1) (c − b)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The explicit formula for a sequence is an = 5 − 3n. What is the value of a22 ?

a22 = -61

a22 = 61

a22 = -1

a22 = -51

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the arithmetic sequence: 22, 17, 12, 7, . . . . What is the recursive formula that models the sequence?

a1 = 7

an = an-1 − 5

a1 = 22

an = an-1 − 5

a1 = 7

an = an-1 + 5

a1 = 22

an = an-1 + 5

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

-5/2

-2/5

2/5

5/2

Tags

CCSS.HSF.BF.A.2

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