# Find the nth term and hence find the 8th term of the following H.P.s: 12,15,18,111, ... - Mathematics and Statistics

Sum

Find the nth term and hence find the 8th term of the following H.P.s:

1/2, 1/5, 1/8, 1/11, ...

#### Solution

1/2, 1/5, 1/8, 1/11, ... are in H.P.

∴ 2, 5, 8, 11, … are in A.P.
∴ a = 2, d = 3
tn = a + (n – 1)d
= 2 + (n – 1)(3)
= 3n – 1

∴ nth term of H.P. is 1/(3"n" - 1)

∴ 8th term of H.P. = 1/(3(8) - 1) = 1/23

Concept: Harmonic Progression (H. P.)
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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 4 Sequences and Series
Exercise 4.4 | Q 2. (i) | Page 60