# if the 4th term of a h is 1/3 and 7th term is 1/n then 6th term is what ?

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,
By what i understand by your representation.
I’m assuming you have an HP.
$\\a_1,a_2,a_3,a_4,a_5....... \\1/a_i is an AP \\=>1/a_1+3d=1/3 \\=>1/a_1+6d=1/n \\=>3d=1/n-1/3 =>1/a_7=1/a_1+5d=1/n-{1/n - 1/3 \over 3}$
Thanks & Regards
Arun Kumar
Btech, IIT Delhi