Question

how many generations are required by a cell of meristem to produce 128 cells?

Answer 1

Since mitosis is an equational division process and it produces two daughter cells from the single parent cells. Clearly, the formula (2)^n would answer the generations, where n would be the number of generations.

Solution,
(2)^n = 128
(2)^n = (2)^7
Therefore, n=7.

It will take 7 generations to produce 128 cells from a singe cell by mitosis.

Generation 1 = 2 cells

Generation 2= 2²= 4cells

Generation 3= 2³=8 cells

Generation 4= 2⁴=16 cells

Generation 5= 2^5= 32 cells

Generation 6= 2^6= 64 cells

Generation 7= 2^7 = 128 cells

Hence prove

I think it clears your doubt's