Question

A sunflower is 3 inches tall after 1 week, 5 inches after 2 weeks, and 7 inches after 3 weeks. What is the recursive rule and explicit rule of this sequence?

Answer 1

Answer: f(x)= 2x+ 1

Explanation:

Let's set up an equation

f(x)=mx+b

We know it's 3 inches tall and grows 2 inches weekly.

Our equation is

f(x)= 2x + 1

Now let's test the week is 1

f(1) = 2(1) +1

f(1) = 3

Let test the week is 2

f(2) = 2(2)+1

f(2) = 5

So we know this equation work