Which expression is equivalent to (6 + 2i) - (4 + 3i)?

Since Larry wants to pay 1.3 times every time he pays, therefore this represents a sequence in the form of geometric series. The general form of geometric series is:

an = a1 (r)^(n - 1)

where,

an = is the value after n months

a1 = initial amount paid or 1st payment = $150

r = is the common ratio = 1.3

n = the total number of months

Substituting the given values,  the equation becomes:

an = 150 (1.3)^(n – 1)

Therefore the first 15 payments in sequence notation is described as:

 ---1st image---

The sum of his first payments (S) would simply be equivalent to:

--- 2nd image---

Therefore this means that Larry can compute for the total 15 payments by plugging in each by each the value of n from 1 to 15 then sum it all up.

Another way would be to use the simplified sequence notation:

S = a1 [(1 – r^n) / (1 – r)]

S = 150 [(1 – 1.3^15) / (1 – 1.3)]

S = $25,092.95