Answer
The population in the tenth year is $3435.$
Work Step by Step
To find a pattern, try dividing neighboring terms in the sequence:
$80/50=1.6$
$128/80=1.6$
$205/128=1.6$
$328/205=1.6...$
So, we can conclude that each next term in the sequence is obtained by multiplying the previous one by $1.6$, and rounding to the nearest whole number.
The ninth term is:
$1342\times 1.6=2147$
The tenth term is
$2147\times 1.6=3435$
The population in the tenth year is $3435.$
