Question

Financial algebra help seriously needed!!

Answer 1

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 2

w(1) = 1
w(n) = w(n-1) + n^2

w(2) = w(1)+2^2 = 5
.
.
.
w(4) = w(3)+4^2 = 30


So an = asub(n-1) +n^2

Answer 3

Thank you but that's not an option??
here are my options:

Answer 4

b

Answer 5

Could you explain that please? Recursive problems are very confusing to me and I'd really like to know how to do it in the future.

Answer 6

turst your gut ok

Answer 7

That doesn't really explain anything?

Answer 8

i dk about explining that

Answer 9

How can you answer it if you can't explain how you figured it out??

Answer 10

this is the series with changing differences

1 9 20 34aa

8 11 14 ------->first difference 8

3 3 --------> second difference 3

\(\large\tt \color{black}{S=a+(n-1)d+\dfrac{(n-1)(n-2)c}{2}}\)

\(\large\tt \color{black}{S=1+(n-1)8+\dfrac{(n-1)(n-2)3}{2}}\)

Answer 11

Okay so what do I do after that? Because that isnt one of my options

Answer 12

its the 4th option which is correct

Answer 13

\(\large\tt \color{black}{a_2=a_1+(3\times2+2)}\)

\(\large\tt \color{black}{a_2=1+(6+2)}\)

\(\large\tt \color{black}{a_2=9}\)

Answer 14

Thank you so much!!

Answer 15

welcome