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A computer is worth $3200 when it is new. After each year it is worth half what it was the previous year. What will its worth be after 3 years?

1 Answer

Jun 1, 2018

Worth of the computer after 3 years $a_{3} = $ 4, 000$ $color(crimson)( a_3 = $4,000$

Explanation:

$a = $ 32, 00, r = \frac{1}{2}, n = 3$ $a = $32,00, r = 1/2, n = 3$

To find $a_{3}$ $a_3$

$a_{n} = a r^{n - 1}$ $a_n = a r^(n-1)$

$a_{3} = 32000 \cdot {(\frac{1}{2})}^{3} = 32000 \cdot (\frac{1}{8}) = $ 4, 000$ $a_3 = 32000 * (1/2)^3 = 32000 * (1/8) = color (crimson)($4,000$

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