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 5 cells.
After 3 days, there are 10 cells.
After 4 days, there are 16 cells.

Which recursive equation represents the pattern?

an = an – 1 + 2n

an = an – 1 + n2

an = an – 1 + (n + 2)

an = an – 1 + 2(n + 1

Answer 1

@bakonloverk

Answer 2

Between day 1 and 2, there are 4 new bacteria
Between days 2 and 3, there are 5 new, then 6 new.
We can assume that this pattern continues.

Each value is equal to the previous value plus a number. This number is 4 when n=2, and increases by 1 each time. Which formula represents this change?

Answer 3

D?

Answer 4

2n+1

Answer 5

Each day, n increases by 1, so if you had an increasing by 2n, they would be growing too fast.

Answer 6

im so confused....

Answer 7

@texaschic101