Question

If a1, a2 ,a3 ........an are in Ap such that a5 +a7=16,then find a6.

Answer 1

In AP's difference between terms are equal, so
a5+x=a6
a7-x=a6

Adding the two equations cancels x, and expresses a6 in terms of the sum of a5 and a7.

Post your finding to check if you wish.

Answer 2

My answer a6=8.

Answer 3

Exactly, well done!