Mathematics

Question

A plant seed germinates and produces five seeds. Each of those seeds is planted and germinates to produce five seeds of its own. How many total seeds will there be after seven germinations?

 

Answer 1

Let S be the number of seeds and g = the number of germinations.

 

g       S

----------------

0     1 = 5⁰

1     5 = 5¹

2     25 = 5²

3     125 = 5³

...

 

S = 5^g

 

For g = 7:

 

S = 5⁷ = _______?