Question 29967
Let N = number of squirrels in year t.


We have:
at start: 10
after 1 year: 10*2
after 2 years: 10*2*2
after 3 years: 10*2*2*2
after 4 years: 10*2*2*2*2


Look at the pattern generated...lets right all the 2's as powers of two:


after 1 year: {{{10*2^1}}}
after 2 years: {{{10*2^2}}}
after 3 years: {{{10*2^3}}}
after 4 years: {{{10*2^4}}}


and by analogy, at the start, we had {{{10*2^0}}} since {{{2^0}}} is 1.


So after t years, we have {{{10*2^t}}}. So the formula is:


{{{N = 10*2^t}}}


jon.