Question

The salary scale for a senior officer starts at N57000

Answer 1

Answer:

N1,052,800.

Step-by-step explanation:

The starting salary of the officer = N57,000

Increase per annum =N2,800

The given pattern forms an arithmetic sequence since the annual salary increases by a fixed amount.

We are to determine the total amount of money that the officer will earn in 14 years.​

Sum of an arithmetic sequence, $S_n=\frac{n}{2}[2a+(n-1)d] ,where: \left\{\begin{array}{lll} First term, a=57,000\\ Common difference, d=2,800\\ Number of terms, n=14\end{array}\right$

$S_{14}=\frac{14}{2}[2(57,000)+(14-1)(2,800)]\\=7[114,000+13*2800]\\=7[150,400]\\=1,052,800$

At the end of 14 years, the total amount earned by the officer will be N1,052,800.