Mia takes a job with a starting salary of $40,000 for the first year. she earns a 3% increase each year. write an equation for the partial sum of the geometric sequence used to model the situation and explain what an, n, sn, and r represent (use a_n to represent an).

Question

Mathematics

Katelyn Oconnell

19 February, 04:32

Mia takes a job with a starting salary of $40,000 for the first year. she earns a 3% increase each year. write an equation for the partial sum of the geometric sequence used to model the situation and explain what an, n, sn, and r represent (use a_n to represent an).

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Answers (1)

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John Sandoval · Answer 1

This is the answer I gave, it reads it correct but doesnt make much sence haha.

so we know that a1 is 40,000 because it is what she makes her first year. next we know that it increases by 1.03 of last years salary every year. the rest I havent really figured out yet.

next i will put what edjenuity would like you to have in your answer,

The partial sum that models the situation is Sn=a1 (1 - rn) / (1 - r).

n = number of years Mia works this job

an = Mia’s salary during her nth year

Sn = total amount Mia earns after n years

r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase