Infinite Geometric Series

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

• 8

• 8/5

• 10

• Does not exist

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Which of the series below is CONVERGENT?

• a₁=4, 1.5a_n-1, n≥2
• a_n=-n²- 8n +106
• a_n = 5/10ⁿ
• a_n = 5n + 6

Tags

CCSS.HSF.LE.A.3

Which of the following is DIVERGENT?

• 2+4+8+16+...

• 25+5+1+0.2+...

• 100+50+25+5+...

• 3(.25)ⁿ = A_n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Is the sequence convergent or divergent?

• Convergent

• 

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Determine whether the sequence is convergent or divergent:

a_n=2 (⅓)^n-1

• Convergent

• 

Tags

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

• 5/4

• 9/5

• 5/6

• 65/27

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Evaluate the infinite geometric series:

3 - 2 + 4/3 - 8/9 + ...

• 5/4

• 9/5

• 5/6

• 65/27

Tags

CCSS.HSF.BF.A.2

What best describes the following infinite geometric series:

1/3 - 1/9 + 1/27 - 1/81 + ...

• Diverges

• Converges

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

• 205

• 19.5

• 108.75

• Does Not Exist

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

• 4/5

• 5

• 6.5

• Does not exist

Tags

CCSS.HSA.SSE.B.4