Verify whether the following sequence is H.P.: `1/3, 1/5, 1/7, 1/9`, ...

`1/3, 1/5, 1/7, 1/9`, ...Here, the reciprocal sequence is 3, 5, 7, 9, …&there4; t1 = 3, t2 = 5, t3 = 7, …∵ t2 – t1 = t3 – t2 = t4 – t3 = 2, constant&there4; The reciprocal sequence is an A.P.&there4; the given sequence is H.P.

Verify whether the following sequences are H.P. : 13,15,17,19, ... - Mathematics and Statistics

प्रश्न

Verify whether the following sequence is H.P.:

$\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \frac{1}{9}$ , ...

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उत्तर

$\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \frac{1}{9}$ , ...
Here, the reciprocal sequence is 3, 5, 7, 9, …
∴ t₁= 3, t₂ = 5, t₃ = 7, …
∵ t₂ – t₁ = t₃ – t₂ = t₄ – t₃ = 2, constant
∴ The reciprocal sequence is an A.P.
∴ the given sequence is H.P.

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Harmonic Progression (H. P.)

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 1) i)Q 5)Q 1) ii)

अध्याय 4: Sequences and Series - EXERCISE 4.4 [पृष्ठ ६०]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board

अध्याय 4 Sequences and Series
EXERCISE 4.4 | Q 1) i) | पृष्ठ ६०

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Verify whether the following sequences are H.P. : 13,15,17,19, ... - Mathematics and Statistics

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Verify whether the following sequences are H.P. : 13,15,17,19, ... - Mathematics and Statistics

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