Question

b(1)=−500
b(n)=b(n−1)⋅ $\frac{4}{5\\}$

What is the 3rd term in the sequence?

Answer 1

Answer:

$-320$

Step-by-step explanation:

The given clues are:

  $b(1) = -500$

 $b(n)= b(n-1)*\frac{4}{5}$

The Question is:

 $b(3)=?$

Well,   $n=3$

     $b(n)= b(n-1)*\frac{4}{5}$

Or, $b(3) = b(3-1)*\frac{4}{5}$

Or, $b(3) = b(2)*\frac{4}{5}$

Or, $b(3) = (b(2-1)*\frac{4}{5} )*\frac{4}{5}$

Or, $b(3) = (b(1)*\frac{4}{5} )*\frac{4}{5}$      $[b(1) = -500]$

Or, $b(3) = (-500*\frac{4}{5} )*\frac{4}{5}$

Or, $b(3) = -500*\frac{4}{5} *\frac{4}{5}$

 ∴  $b(3) = -320$     (Ans)

Hope you have understood the process...  

(IF you find the answer helpful, please make my answer as Brainliest.)

By- Md. Mominur Islam Mahim.