Question

A rare bacterial culture is being grown in a lab. As the days progress, the cells multiply and grow.

After 1 day, there is only 1 cell.
After 2 days, there are 9 cells.
After 3 days, there are 20 cells.
After 4 days, there are 34 cells.

Which recursive equation represents the pattern?

Answer 1

What are your choices?

Answer 2

an=an-1+3n

an=an-1+(n+2)

an=an-1+3(n+2)

an=an-1+(3n+2)

I thought it was the last one but am not sure and am trying to help my grandson.

Answer 3

well, the amounts added are 8,11,14
They differ by 3, so it will look like

a(n) = a(n-1) + 3n + ?

3n looks like 3,6,9, so we have

a(n) = a(n-1) + 3(n-1)+5 = a(n-1)+(3n+2)

so you are correct

Answer 4

thank you