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. with a = 2, d = 3

∴ tn = a + (n – 1)d

= 2 + (n – 1)3

= 2 + 3n – 3 = 3n – 1

∴ nth term of H.P. = 1/(3"n" - 1)

and 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 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 2 Sequences and Series
Exercise 2.4 | Q 2. (i) | Page 37