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Question
Find the nth term and hence find the 8th term of the following H.P.s:
`1/5, 1/10, 1/15, 1/20`, ...
Solution
`1/5, 1/10, 1/15, 1/20`, ... are in H.P.
5, 10, 15, 20, … are in H.P.
∴ a = 5, d = 5
tn = a + (n – 1)d
= 5 + (n – 1)(5)
= 5n
∴ nth term of H.P. = `1/(5"n")`
∴ 8th term of H.P. = `1/(5(8)) = 1/40`.
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