If the 7th term of a H-P is 1-10 and the 12th term is 1-25- then the 20th term is -

The correct option is D Considering corresponding A.P. a + 6d = 10 and a + 11d = 25 ⇒ d= 3, a= 8 ⇒ T_20 = a + 19d = 8 + 57 = 49 Hence 20th term of the corre ...

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Standard XI

Mathematics

Nth term of HP

If the 7th te...

Question

If the 7th term of a H.P is $\frac{1}{10}$ and the 12th term is $\frac{1}{25}$ , then the 20th term is

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Solution

The correct option is D

Considering corresponding A.P.

a + 6d = 10 and a + 11d = 25 $\Rightarrow d$ = 3, a= -8

$\Rightarrow T_{20}$ = a + 19d = -8 + 57 = 49

Hence 20th term of the corresponding H.P. is $\frac{1}{49}$

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If the 7th term of a H.P is $\frac{1}{10}$ and the 12th term is $\frac{1}{25}$ , then the 20th term is

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If the 7th term of a H.P is 110 and the 12th term is 125, then the 20th term is

The correct option is D Considering corresponding A.P. a + 6d = 10 and a + 11d = 25 ⇒d= 3, a= -8 ⇒ T20 = a + 19d = -8 + 57 = 49 Hence 20th term of the corresponding H.P. is 149

If the 7th term of a H.P is $\frac{1}{10}$ and the 12th term is $\frac{1}{25}$ , then the 20th term is

The correct option is D

Considering corresponding A.P.

a + 6d = 10 and a + 11d = 25 $\Rightarrow d$ = 3, a= -8

$\Rightarrow T_{20}$ = a + 19d = -8 + 57 = 49

Hence 20th term of the corresponding H.P. is $\frac{1}{49}$