First differences are ...
41 -39 = 2
43 -41 = 2
45 -43 = 2
These are all the same, so 2 is the common difference of the arithmetic sequence beginning with 39.
The Nth term is
![a_(n)=a_(1)+(n-1)d\\a_(n)=39+2(n-1)\\a_(n)=37+2n](https://img.qammunity.org/2019/formulas/mathematics/high-school/buaf7mfr2lrv41v9wkqnn2x7nck9ee2ax5.png)
The problem statement seems to ask for the 10th term and for a15. Here they are.
![a_(10)=37+2\cdot 10=57\\a_(15)=37+2\cdot 15=67](https://img.qammunity.org/2019/formulas/mathematics/high-school/1t7m4hgiamnbig9j4xqjjqt6x29naynwky.png)