Question

You created a blog and after 2 weeks you get your first subscriber. The number of subscribers grows quickly, quadrupling each week afterwards.
Excited about your blog's popularity you wonder, how many subscribers will the blog have 12 weeks after you create it?

Answer 1

Answer:

1 x 4 x 12 = 48

Step-by-step explanation:

48 subs

Answer 2

The number of subscribers at 12 weeks is required.

Number of subscribers at 12 weeks would be 1048576.

a = Initial subscriber count at 2 weeks = 1

Week at which number of subscribers is required is 12.

x = Duration between the weeks = $12-2=10$

r = Rate of increase = 4

The required formula is

$f(x)=ar^x\\\Rightarrow f(10)=1(4)^{10}\\\Rightarrow f(10)=1048576$

Number of subscribers at 12 weeks would be 1048576.

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