MATH SOLVE

2 months ago

Q:
# Your friend asks you to help him study and will pay you 5dimes the first time you help him. You agree to help if hemultiplies your payment by 5 for each study session. After 2study sessions, you will receive 25 dimes, and after 3 studysessions, you will receive 125 dimes.Complete and solve the equation that finds the number ofdimes he will pay you after the 7th study session.*+*CLEAR= number of dimes for 7th study sessionPayment for the 7th study session =dimes

Accepted Solution

A:

Answer:My payment for the 7th study session will be 78125 dimes.Step-by-step explanation:My friend will pay me 5 dimes for helping him study for the first time.
Now, I agree to help him if he multiplies my payment by 5 for each study session.
So, he will pay 25 dimes for the 2nd study session, 125 dimes for the 3rd study session and so on.
Hence, my payment in each study session increases in geometric progression as follows:
5, 25, 125, ........ so on.
So, the 7th term of this series indicates the number of dimes that my friend pays me after the 7th study session.
This is a G.P. series having first term 5 and common ratio 5, then the 7th term will be [tex]5\times 5^{(7 - 1)} = 5^{7} = 78125[/tex]
Therefore, my payment for the 7th study session will be 78125 dimes. (Answer)