The product of the first and the third terms of an arithmetic sequence is 9. If all terms of the sequence are positive integers, what is the fourth term?
I think it is 13. In an Arithmetic Sequence the difference between one term and the next is a constant.
So if we imagine the first number is 1 and then the third is 9, we have these three numbers 1, 5, 9...
We see that there is a jump of 4 every time, so the sequence becomes...
1, 5, 9, 13, 17, 21 ....
See: https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html