Understanding and applying geometric series

• A

• B

Find the sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

• 25

• 30

• -1

• 0.8

• 4/5

• 5

• 6.5

• Does not exist

Formula for infinite Geometric series?

• S = r/(1-r)

• S = a/(1+r)

• S = a/(1-r)

• S = a/(1-2r)

What is the sum of the infinite geometric series  $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...$  

• 1

• 1.5

• 2

• 2.5

Estimate the total sum. (Ans 0.5)

• 0.3333
• 0.5
• infinity

What is the difference between S and S_n?

• S is an infinite sum

  S_n is a finite sum

• Nothing they are both the same

• S is for geometric

  S_n is for arithmetic

• S is finite sum

  S_n is infinite sum

Find the sum:  4 + 4.8 + 5.76 + 6.912 + ...

• 20
• 24
• Infinity

• 205

• 19.5

• 108.75

• Does Not Exist

• A

• B

• C

• D