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

Answer:

x=8*2

Step-by-step explanation:

Answer 2

Answer:

$8(2)^{x-1}$

Step-by-step 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 = $\frac{8\times2}{8}$ = 2

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