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Algebra II: Unit 7B Review Quizizz - Printable Mathematics Worksheets - Wayground

Algebra II: Unit 7B Review Quizizz

16 questions

9th - 9th Grade

Mathematics

This Grade 9 mathematics review worksheet develops fluency with arithmetic and geometric sequences and series. Students answer 16 multiple-choice questions covering explicit formulas, recursive formulas, term identification, sigma notation, finite sums, infinite geometric sums, and when an infinite series has a sum. The set also includes contextual and true-or-false items that connect sequence rules to practical situations and key properties. The worksheet is designed for review, independent practice, or a formative check after instruction on sequences and series. Students must select and apply the appropriate rule, distinguish arithmetic from geometric behavior, interpret common difference and common ratio, and evaluate recursive terms and series sums. It is a free printable worksheet with a complete answer key, making it useful for Grade 9 mathematics instruction, homework, or test preparation.

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Worksheets

Algebra II: Unit 7B Review Quizizz

Total questions: 16

Name
Class
Date
1.
Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...
a)
29
b)
-261
c)
-241
d)
cannot be determined
2.

What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?

a)

384

b)

768

c)

1,536

d)

27

3.

What is the explicit formula for an arithmetic sequence?

a)

an=a1+(n−1)da_n=a_1+\left(n-1\right)d

b)

an=a(n−1)+da_n=a_{\left(n-1\right)}+d

c)

an=a1r(n−1)a_n=a_1r^{\left(n-1\right)}

d)

an=a(n−1)ra_n=a_{\left(n-1\right)}r

4.

What is the explicit formula for a geometric sequence?

a)

an=a1+(n−1)da_n=a_1+\left(n-1\right)d

b)

an=a(n−1)+da_n=a_{\left(n-1\right)}+d

c)

an=a1r(n−1)a_n=a_1r^{\left(n-1\right)}

d)

an=a(n−1)ra_n=a_{\left(n-1\right)}r

5.
Determine the sum of the series written in Sigma Notation. 
a)
3174
b)
1590
c)
3180
d)
6356
6.
Find the sum for the following series. 
a)
44
b)
-162
c)
-682
d)
324
7.

Evaluate.

∑x=1∞(14)x\sum_{x=1}^{\infty}\left(\frac{1}{4}\right)^x

a)

1/4

b)

1

c)

No Sum

d)

1/3

8.

Find the sum of the first 12 terms if a1=16a_1=16 and d = -3.

a)

-6

b)

-240

c)

-204

d)

-3168

9.

Find the infinite sum.

20 - 4 + 4/5 - 4/25 + ...

a)

7995/4

b)

50/3

c)

-10/3

d)

No Sum

10.

True or False: We can calculate the sum of a finite arithmetic series.

a)

True

b)

False

11.

True or False: We can calculate the sum of a finite geometric series.

a)

True

b)

False

12.

Can we calculate the sum of an infinite arithmetic series?

a)

Always

b)

Sometimes, when -1 < d < 1

c)

Never

13.

Can we calculate the sum of an infinite geometric series?

a)

Always

b)

Sometimes, when -1 < r < 1

c)

Never

14.

Martha is working as a babysitter. In Week 1, she earns $10 for babysitting. Each subsequent week, she earns $5 more than she did the week prior. Which equation represents how much money Martha makes in the nth week?

a)

an=5n+10a_n=5n+10

b)

an=5n+5a_n=5n+5

c)

an=5n−5a_n=5n-5

d)

an=5n−10a_n=5n-10

15.
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
16.

Find the first five terms.

a)

−18,−11,−4, 3, 10-18,-11,-4,\ 3,\ 10

b)

−24,−18,−12,−6, 0-24,-18,-12,-6,\ 0

c)

−20,−13,−6, 1, 8-20,-13,-6,\ 1,\ 8

d)

−18,−12,−6, 0, 6-18,-12,-6,\ 0,\ 6

Answer Key

Algebra II: Unit 7B Review Quizizz

Total questions: 16

1.
c) -241
2.
b)

768

3.
a)

an=a1+(n−1)da_n=a_1+\left(n-1\right)d

4.
c)

an=a1r(n−1)a_n=a_1r^{\left(n-1\right)}

5.
b) 1590
6.
c) -682
7.
d)

1/3

8.
a)

-6

9.
b)

50/3

10.
a)

True

11.
a)

True

12.
c)

Never

13.
b)

Sometimes, when -1 < r < 1

14.
b)

an=5n+5a_n=5n+5

15.
d) -16, -11, -6, -1
16.
b)

−24,−18,−12,−6, 0-24,-18,-12,-6,\ 0

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FAQs

What does this Algebra II Unit 7B worksheet cover?

This Grade 9 mathematics worksheet uses 16 multiple-choice questions to assess arithmetic and geometric sequences and series. Students find terms, identify explicit and recursive formulas, interpret sigma notation, calculate finite and infinite sums, and determine when an infinite series can be summed.

How can I use this worksheet to teach arithmetic and geometric sequences and series?

Use the worksheet after modeling how common difference identifies an arithmetic sequence and common ratio identifies a geometric sequence. Have students explain why they selected each explicit formula, then work through the term and sum items, including the babysitting situation and recursive sequence, to connect symbolic rules with a real-world or step-by-step representation.

What mistakes should I watch for when students complete this sequences and series worksheet?

Watch for students confusing a common difference with a common ratio, using the wrong explicit formula, or treating the first term as if it were the zeroth term when finding a later term. Students may also lose negative signs in finite sums, confuse recursive and explicit notation, or assume every infinite series has a sum instead of checking the geometric-series condition on the common ratio.

How do I assign and grade this worksheet?

This Algebra II Unit 7B review is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, while the digital version supports online completion and grading.

How can I differentiate this sequences and series worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the multiple-choice sequence and series items easier to read, or enable a dyslexia-friendly font. You can also translate the worksheet into another language so students can access the instructions and word-problem language while working with the same formulas and answer choices.

Where can I find more free worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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