Question

Pacey's computer is infected with a virus. The number of files the virus corrupts doubles every 8 minutes. The following expression represents the number of files corrupted after x minutes.

Answer 1

x=8*2

Explanation:

Answer 2

`8(2)^(x-1)`

Explanation:

Pacey's computer is infected with a virus. The number of files the virus corrupts doubles every 8 minutes.

That means at every 8 minutes interval sequence becomes 8, 8 × 2, 8 × 2 × 2,.....

So the sequence is a geometric sequence.

Explicit formula of geometric sequence is

`A_(x)=A_(0)(r)^(x-1)`

When
`A_(x)` = xth term

`A_(0)` = first term

x = number of term

and r = common ratio

Here
`A_(0)` = 8 and r =
`(8*2)/(8)` = 2

So expression representing the number of files corrupted will be
`A_(x)` =
`8(2)^(x-1)`