Question

a blogger has 300 subscribers in her blog in january. the number of subscribers has grown by a factor of 1/5 every month since then. write a sequence to represent the number of subscribers in the next 3 months.

Answer 1

Ok, we know this:

Initial number of subscribers: a=300

Grown factor: b=1/5

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

y=abˣ

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

y=ab¹

y=300(1/5)

y=60 suscribers

when x = 2;

y=ab²

y=300*(1/5)²=300(1/25)=12 suscribers

when x = 3;

y=ab³

y=300*(1/5)³

y=300*(1/125)=2.4 suscribers

So, the next three number of subscribers is:

60, 12, 2.4