Question

Phillips received 75 points on a project. he can make changes and receive two tenths of the missing points back. He can make corrections as many times as he wants. Create the formula for the sum of the geometric series, and explain your steps in solving for the maximum grade Phillip can receive. Identify this as converging or diverging

Answer 1

@TheSmartOne

Answer 2

@perl

Answer 3

can we assume that the student got 75 points out of 100 points possible?

Answer 4

Sure

Answer 5

That's why I'm asking on here... Sorry :(

Answer 6

no problem :)

Answer 7

the missing points is 25 to start out

Answer 8

Okay

Answer 9

2/10 = 1/5 , in lowest form

Answer 10

Yup

Answer 11

I guess this helps, thanks :)

Answer 12

We start with 100 - 75 = 25 points

For the first correction he can get 1/5 * 25 points.
That leaves you with 4/5 * 25 points


For the second correction he can get
1/5 * (4/5 * 25) points

That leaves you with 4/5 * (1/5 * (4/5 * 25)) points

Answer 13

do you see a pattern emerging ?

Answer 14

Yeah

Answer 15

correction 1 :
1/5 * (4/5)^0 * 25

correction 2:
1/5 * (4/5)^1 * 25

correction 3:
1/5 * (4/5)^2 * 25

correction 4:
1/5 * (4/5)^3 * 25
.
.
.
correction n:

1/5 * (4/5)^(n-1) * 25

Answer 16

We start with 100 - 75 = 25 points

For the first correction he can get 1/5 * 25 points.
That leaves you with 4/5 * 25 points


For the second correction he can get
1/5 * (4/5 * 25) points

That leaves you with 4/5 * (4/5 * 25)) points


For the third correction he can get

1/5 * (4/5)^2 * 25

Leaving you with 4/5* (4/5)^2 * 25

Answer 17

2/10 is the same as 20% , so i subtracted from 100% to get 80%
80% = 80/100 = 4/5

Answer 18

Thanks @perl