Suppose the 8th term of an arithmetic sequence has a value of 14 and the 12th term has a values of 26. Find the values of 95th term.

Consider the 8th term of an arithmetic sequence as first equation;

\(\begin{array}{c}{a_1} + \left( {8 - 1} \right)d = 14\\{a_1} + 7d = 14\end{array}\)

Similarly, consider the 12th  term of an arithmetic sequence as second equation;

\(\begin{array}{c}{a_1} + \left( {12 - 1} \right)d = 26\\{a_1} + 11d = 26\end{array}\)

Solve the two equations as follows:

\(\begin{array}{c}{a_1} + 11d = 26\\{a_1} + 7d = 14\\0 + 4d = 12\\d = 3\end{array}\)