Finding Sums of Infinite Geometric Series

Finding Sums of Infinite Geometric Series

8th - 12th Grade

8 Qs

quiz-placeholder

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Finding Sums of Infinite Geometric Series

Finding Sums of Infinite Geometric Series

Assessment

Quiz

Mathematics

8th - 12th Grade

Medium

CCSS
HSA.SSE.B.4, HSF.BF.A.2, HSF.IF.A.3

+1

Standards-aligned

Created by

Jenn Fandl

Used 178+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Consider the infinite Geometric series. Find the partial sum  SnS_n   for  n=4n=4  
 4+125+3625+108125+3246254+\frac{12}{5}+\frac{36}{25}+\frac{108}{125}+\frac{324}{625}  

8.70

 108125\frac{108}{125}  

0.864

7.864

Tags

CCSS.HSA.SSE.B.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the sum of the infinite geometric series, if it exists. n=18(15)n1\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}  

8

8/5

10

Does not exist

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the sum of the infinite geometric series, if it exists. 1253+50950027+...\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...  

205

19.5

108.75

Does Not Exist

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the repeating decimal as a fraction in simplest form.

0.222

1150\frac{11}{50}

22100\frac{22}{100}

29\frac{2}{9}

1231\frac{12}{31}

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the repeating decimal as a fraction in simplest form.

32.323232...

32 3210032\ \frac{32}{100}

32 329932\ \frac{32}{99}

32 3832\ \frac{3}{8}

32 31132\ \frac{3}{11}

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Consider the infinite geometric series. Find the 5th partial sum.

 1, 14, 116, 164, 1256,...1,\ -\frac{1}{4},\ \frac{1}{16},\ -\frac{1}{64},\ \frac{1}{256},...  

0.59

0.68

0.75

0.80

Tags

CCSS.HSA.SSE.B.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 k=1(45)k1\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}  Find the sum of the series if it exists.

4/5

5

6.5

Does not exist

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

8.

MULTIPLE CHOICE QUESTION

30 sec • Ungraded

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