Introduction: In this question, we need to determine the number of generations required by a cell of meristem to produce 128 cells.

Explanation:

- Meristem cells are the undifferentiated cells that can divide and differentiate into various types of cells in the plant body.

- The cell division in meristem cells is rapid and continuous, which results in the production of a large number of cells.

- The rate of cell division depends on the type of meristem and the environmental conditions.

- To determine the number of generations required to produce 128 cells, we need to use the formula:

Number of cells = 2^n

where n is the number of generations.

- Let's apply this formula to find the number of generations required to produce 128 cells.

128 = 2^n

Taking log on both sides, we get:

log 128 = log 2^n

Using the logarithmic rule, we can write:

log 128 = n log 2

n = log 128 / log 2

n = 7

Therefore, it would take 7 generations for a cell of meristem to produce 128 cells.

Conclusion: In conclusion, it can be said that the number of generations required by a cell of meristem to produce 128 cells is 7.