Question

What is the sum of this infinite geometric series? 1/4, 1/5, 4/25, 16/125

Answer 1

Answer:

• 5/4

Step-by-step explanation:

Given infinite geometric series

• 1/4, 1/5, 4/25, 16/125, ...

We see that

• a = 1/4
• r = 4/5

Sum of the series

• S = a*1/(1 -r)
• S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4

Answer 2

Answer:5/4

Step-by-step explanation: