Question

Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes.
Complete and solve the equation that finds the number of dimes he will pay you after the 7th study session.

Answer 1

Answer:

• 78125 dimes

Step-by-step explanation:

The payment for sessions makes a series

• 5 dimes, 5*5 = 25 dimes, 25*5 = 125 dimes, ...

This series is GP with the first term of 5 and common ratio of 5.

The nth term would be

• $t_n=5*5^{n-1}$

Use the equation above and find the 7th term

• $t_7=5*5^6 = 5^7 = 78125$