## Related questions with answers

Question

A government program that currently costs taxpayers $2.5 billion per year is cut back by 20 percent per year. Write an expression for the amount budgeted for this program after n years.

Solution

VerifiedStep 1

1 of 2We know that 2.5 billion is $2.5\cdot10^9$ and 20% is $\dfrac{2}{10}$.

Since the amount budgeted is 80% per year, starting from 2.5 billions, the sequence that represents the amount budgeted after $n$ years is:

$\color{#4257b2} a_n =2.5\cdot10^9\cdot \left( \frac{8}{10} \right)^n$

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