rabbits multiplying over time

Question

if a rabbit had 7 baby bunnies every year, and those 7 bunnies and the mother had 7 bunnies every year after that, how many bunnies could there possibly be in the third yea

Answer 1

In first year

 

 1 rabbit had 7 bunnies = 7 bunnies

 

In second year

 

 

mother rabbit had 7 bunnies  =7 bunnies

 

7 bunnies had 7 bunnies each = 49 bunnies

 

In third year

 

mother rabbit had 7 bunnies =7 bunnies

 

7 bunnies had 7 bunnies each = 49 bunnies

 

49 bunnies had 7 bunnies each = 49* 7 = 343 bunnies

 

Total number of bunnies = 7+7 +49 + 7+49+343 = 462 bunnies and 1 rabbit