Question

A particular type of cell doubles in number every hour. Write the function that can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells

Answer 1

The function to represent the number of cells present at the end of h hours if there are initially 4 of these cells is n= 4(2)ˣ

Given,

A particular type of cell doubles in number every hour.

So, to determine which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells.

The number of cells denoted with n.

Therefore, the number of bacteria after every hour will form a geometric series.

What is Geometric Progression?

Geometric Progression or geometric Sum of G.P. is refer to as if each term is a multiple of the next term then this sequence.  

aₙ =arˣ

Where a is the first term which is 4.

And r is the common ratio r = 2.

Therefore,

The number of cells present at the end of h hours if there are initially 4 of these cells is,

n = arˣ

n = 4(2)ˣ

Hence, the function represents the number of cells present at the end of h hours if there are initially 4 of these cells is n = 4(2)ˣ.

For more details regarding cell division, visit:

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