Question 6

Explanation

We can model this problem using the concept of a Geometric Series. The THR Bima receives each year forms a geometric sequence because each year the amount doubles from the previous year.

Given Bima's monthly salary is $Rp3.000.000,00$. The first step is to determine the first term ($a$), which is the THR amount in the first year:

Since the THR always doubles from the previous year, the common ratio ($r$) of this sequence is $2$. We need to find the total THR over $5$ years, which corresponds to calculating the sum of the first $5$ terms ($S_5$) of this geometric series.

The formula for the sum of the first $n$ terms of a geometric series is $S_n = \frac{a(r^n - 1)}{r - 1}$. Substituting the values $a = 300,000$, $r = 2$, and $n = 5$ into the formula:

Thus, the total THR Bima receives after working for $5$ years is $Rp9.300.000,00$.