Math, asked by suzukililly396, 5 months ago

b(1)=−500
b(n)=b(n−1)⋅ \frac{4}{5\\}

What is the 3rd term in the sequence?

Answers

Answered by MominurFromDinajpur
0

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.

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