Question

I really need Help with this equation Please!!!!

Answer 1

Answer:

Option D:  - 6;  $\textbf{-5}\frac{\textbf{5}}{\textbf{2}}$;   $\textbf{-4}\frac{\textbf{1}}{\textbf{5}}$.

Step-by-step explanation:

The sequence is defined by:

$A(n) = -6 + (n - 1)\bigg( \frac{1}{5} \bigg )$

To find the first term of the sequence simply substitute n = 1.

First term of the sequence:

$A(1) = -6 + (1 - 1)\bigg( \frac{1}{5} \bigg )$

        $= - 6$

Fourth term of the sequence:

$A(2) = -6 + (4 - 1) \bigg ( \frac{1}{5} \bigg)$

        $= - 6 + 3\bigg( \frac{1}{5} \bigg)$

        $= \frac{- 30 + 3}{5}$

        $= \frac{-27}{5}$

        $= \frac{-25 - 2}{5}$

        $= - 5 - \frac{2}{5}$

        $= -5\frac{2}{5}$   is the required answer.

Tenth term of the sequence:

$A(10) = - 6 + (10 - 1) \bigg( \frac{1}{5} \bigg)$

         $= - 6 + 9\bigg( \frac{1}{5} \bigg)$

         $= \frac{-30 + 9}{5}$

         $= \frac{-21}{5}$

         $= \frac{-20 - 1}{5}$

         $= - 4 - \frac{1}{5}$

         $= -4\frac{1}{5}$  is the required answer.