Question

A large company put out an advertisement in a magazine for a job opening. The first day the magazine was published the company got 50 responses, but the responses were declining by 10% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 12 days after the magazine was published, to the nearest whole number?

Answer 1

Answer:

16 responses

Step-by-step explanation:

we know that

A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

$a_n=r^{n-1}$

where

a_n----> $n^{th}$ term of the sequence

r ---> is the common ratio

a ---> the first term of the sequence

$a=50\\r=100\%-10\%=90\%=90/100=0.90$

substitute

$a_n=50(0.90)^{n-1}$

For n=12

substitute

$a_n=50(0.90)^{12-1}=16$