The salary scale for an officer starts at $1,700,000 .A rise of $4000

1.	The salary scale for an officer starts at $1,700,000 .A rise of $4000 is given at the end of each share . Find the total amount of money the officer will earn in 14 years
Answer» Answer: GIVEN : SALARY at starting = $ 1,700,000 Rise in salary at the end of each share = $ 4000 No. of years = 14 To Find : The total amount of money the officer will earn in 14 years = ? Solution : Clearly, we can see that salary of the officer is in FORM of ARITHMETIC progession, where : First TERM, a = $ 1,700,000 Common difference = $ 4000 Number of terms, n = 14 And we have to find total salary i.e. $\tt s_{n} = ?$ Now, we know that : $\large \underline{\boxed{\bf{S_n = \dfrac{n}{2} \Bigg(2a + (n-1) d\Bigg)}}}$ By substituting values : $\tt : \implies S_n = \dfrac{14}{2} \Bigg(2(1700000) + (14-1) (4000)\Bigg)$ $\tt : \implies S_n = \cancel{\dfrac{14}{2}} \Bigg(2\times 1700000 + 13 \times 4000\Bigg)$ $\tt : \implies S_n = 7 \Bigg(3400000 + 52000\Bigg)$ $\tt : \implies S_n = 7 \Bigg(3452000\Bigg)$ $\tt : \implies S_n = 7 \times 3452000$ $\tt : \implies S_n = 24164000$ $\large \underline{\boxed{\bf{S_n = \$ 24,164,000}}}$ Hence, the total amount of money the officer will earn in 14 years is $ 24,164,000.