JUPEBMathematicsSequences and Series

A graduate's starting salary is ₦120,000 per month and it increases by 5% at the beginning of each new year of service. What is the monthly salary during the fourth year?

A₦138,915CORRECT
B₦145,861
C₦132,300
D₦126,000
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Why the answer is A, and why the others tempt you.
The salaries form a geometric progression with $a = 120{,}000$ and $r = 1.05$. The fourth-year salary is the fourth term, $ar^3 = 120{,}000 \times 1.05^3 = 120{,}000 \times 1.157625 = 138{,}915$. Applying the increase four times, $ar^4$, gives about ₦145,861, which is the fifth-year salary.
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