Maharashtra State BoardHSC Commerce 11th
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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`, ...

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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
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