Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

A florist sold 15 arrangements in its first month of business. The number of arrangements sold doubled each month.


What was the total number of arrangements the florist sold during the first 9 months?

Answer 1

Hello there,

A florist sold 15 arrangements in its first month of business. The number of arrangements sold doubled each month.

What was the total number of arrangements the florist sold during the first 9 months?

Answer: 7665

Answer 2

Answer: 7665

Explanation:

Given the sequence {15, 2(15), ... , a₉} we know the following

• the first term (a₁) = 15
• the common ratio (r) = 2
• the number of terms (n) = 9

Input the information above into the Sum formula:

`S_n=(a_1(1-r^n))/(1-r)\\\\S_9=(15(1-2^9))/(1-2)\\\\.\quad =(15(1-512))/(-1)\\\\.\quad =(15(-511))/(-1)\\\\.\quad =7665`