If inverse of a sequence follows rule of an A.P. then it is said to be in harmonic progression.
e.g. 1,1/2, 1/3, 1/4, 1/5 ...............
1/10, 1/7, 1/4, 1, – 1/2, ...........
In general
1/a, 1/a+d, 1/a+2d, ..................
Note:
Three convenient numbers in H.P. are
1/a–d, 1/a, 1/a+d
Four convenient numbers in H.P. are
1/a–3d, 1/a–d, 1/a+d, 1/a+3d
Five convenient numbers in H.P. are
1/a–2d, 1/a–d, 1/a, 1/a+d, 1/a+2d