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Mathematics

11th Grade

CCSS covered

Used 3+ times

Infinite Geometric Series
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15 questions

Show all answers

1.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Find the indicated sum of the geometric sequence if its first term is 318 and the common ratio is one-half.

(a)  

Answer explanation

S=a11−rS=\frac{a_1}{1-r}

S=3181−(12)=636S=\frac{318}{1-\left(\frac{1}{2}\right)}=636  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the infinite summation,,

what is the sum (Sn)?

6

9

The series diverges

6.5

Answer explanation

S=a11−rS=\frac{a_1}{1-r}

S=31−(12)=6S=\frac{3}{1-\left(\frac{1}{2}\right)}=6  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine if the series converges or diverges

Converges

Diverges

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Evaluate the infinite series described: 

No Sum

0

-1/9

-4/25

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Evaluate the infinite series described: 

-16

-18

3

-15

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Evaluate the infinite series described: 

3/5

1/2

1/4

No Sum

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Evaluate the infinite series described: 

No Sum

4096/5627

4/9

2048/2813

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