Question

Alex earns a $35,000 salary in the first year of his career. Each year, he gets a 3% raise.

Which expression gives the total amount Alex has earned in his first n years of his career?

Answer 1

A: 35,000(1 - 1.03^n)/-0.03

Explanation:

the geometric sequence formula is sum = 1st term(1 - common ratio to the nth variable over 1 - the common ratio or s = a · 1-r^n/1-r

the first term given in the equation is 35,000, so we can substitute "a" with that number.

he is given a 3% raise each year, so we can input 1.03 as our common ratio.

since the question is asking for the formula only, all we have to do is plug the numbers into the equation and we get our answer, A.

Answer 2

Explanation:

Each year, he gets a 3% raise. It means that her salary in increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

a = $35000

r = 3 + 3/100 = 1.03

Therefore, the expression that gives the total amount Alex has earned in his first n years of his career, Sn is

Sn = (35000(1.03^(n) - 1)/1.03 - 1

Sn = (35000(1.03^(n) - 1)/0.03