Answer:
A. Yes it is a geometric sequence the rule is as follows
[tex]a_{n} = a_{0} * 2^n[/tex]
B. There will be
128 Cells
Step-by-step explanation:
A.
A geometric sequence is when the previous term is multiplied by the same ratio this being it will divide into 2, so you are multiplying it by 2 to get the next amount of cells. per n.
So we know whatever divisions n we want the answer will equal = 1 (the first amount of cells) * [tex]2^n[/tex] because that is the same as doing 2 * 2 * n many 2's.
So we can rewrite this formula as [tex]a_{n} = a_{0} * 2^n[/tex] where [tex]a_n[/tex] is the desired amount of cells after [tex]n[/tex] amount of divisions.
B.
Plugging in 7 into this equation we get.
[tex]a_7 = 1 *2^7\\a_7 = 1 * 128\\a_7 = 128[/tex]
So there will be 128 cells
