# A one-ton ice sculpture is melting so that is loses one-fifth of its weight per hour. How much of the sculpture will be left after five hours?

Jul 21, 2017

$0.33$ ton of the sculpture will be left after $5$ hours.

#### Explanation:

Common ratio is $r = 1 - \frac{1}{5} = \frac{4}{5} = 0.8$

$1$st term is ${a}_{1} = 1$ ton , number of terms is $n = 5 + 1 = 6$

$6$ th term is ${a}_{1} \cdot {r}^{n - 1} = 1 \cdot {0.8}^{6 - 1} = {0.8}^{5} = 0.32768$

$0.33 \left(2 \mathrm{dp}\right)$ ton of the sculpture will be left after $5$ hours [Ans]