Phillip received 75 points on a project for school. 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 this geometric series and explain your steps in solving for the maximum grade Phillip can receive. Identify this as converging or diverging.

Question

dumbcow · Answer

hmm do we know how successful his corrections are each time around?
for example if he was perfect on corrections first time around...that would add 25*0.2 = 5 points for total of 80 points

anonymous · Answer

mmm well it says maximum grade so i'm guessing after corrections they were all correct

dumbcow · Answer

right so max is 80
but not sure how to set up geometric series since what it being multiplied by 0.2 varies 
"He can make corrections as many times as he wants"

dumbcow · Answer

here are general formulas
$$P = a(1+.2 +.2^{2}+....2^{n})$$
$$Sum = \frac{a(1-.2^{n})}{1-.2}$$

anonymous · Answer

so would it be 80=75(1-.2^n)/1-/2?

dumbcow · Answer

no that wont work , sorry im not sure what they want here as far as geometric sequence
i just gave the general form of what it should look like
and logically a max of 80 makes sense

sorry i cant help further

anonymous · Answer

Okay, well thank you for trying (: