In the known sequence {an}, A3 = 2, a7 = 1. If {1 / an + 1} is an arithmetic sequence, then a11 is equal to?

In the known sequence {an}, A3 = 2, a7 = 1. If {1 / an + 1} is an arithmetic sequence, then a11 is equal to?


A3 = 2, a7 = 1, if {1 / (an + 1)} is an arithmetic sequence
Tolerance d = (1 / A7 + 1-1 / A3 + 1) / (7-3) = 1 / 24
1/(a11 +1)=1/3 +1/24 *(11-3) =2/3
a11=1/2