I think he bought 14 meduim pumpkins and six large pumpkins.
I believe there is no such AP...
Recursively, this sequence is supposed to be given by

so that




has to be an integer, which means there are 4 possible cases.
Case 1:
and
. But

Case 2:
and
. But

Case 3:
and
. But

Case 4:
and
. But

Population are always modeled by exponential growth equation given by:
f(x)=a(1+b)^t
where:
a=original number
b=rate of growth
t=time
thus
f(x)=412(1.05)^t
the population after 9 months will be:
f(9)=412(1.05)^9=639.15=639
Hello,
Please, see the attaced file.
Thanks.
(1 & 2/3) ft = (1 ft) + (2/3 ft)
(1 & 2/3) ft = 12 inches + 12*(2/3) inches
(1 & 2/3) ft = 12 inches + 8 inches
(1 & 2/3) ft = 20 inches
If the tree grows 5 inches per year, then it will take 4 years to get to 20 inches since 5*4 = 20. You can also divide to get 20/5 = 4.
So it takes 4 years for the tree to grow 1&2/3 feet tall.