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 180 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 13 days after the
magazine was published, to the nearest whole number?

HELP PLEASEEEE 50 POINTS!!’

Answer 1

51 response

Explanation:

A geometric sequence, is a type of 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.

where

a_n= a(r)^n-1

a_n----> term of the sequence

r ---> is the common ratio

a ---> the first term of the sequence

n___ number of terms

substitute

For n=13

a= 180

r= 100-10=90 90/100= 0.90

a_n= 180(0.90)^13-1

an = 180((0.90)^12

an = 180(0.2824)= 50.83 = 51 (approximately)

therefore, there will be 51 response