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The numbers h1, h2, h3, h4,..., h10 are ...

The numbers `h_1, h_2, h_3, h_4,..., h_10` are in harmonicprogression and `a_1, a_2, ..., a_10` are in arithmetic progression. If `a_1 = h_1=3 and a_7=h_7=39`, thenthe value of `a_4 xx h_4` is

A

`(13)/(49)`

B

`(182)/(3)`

C

`(7)/(13)`

D

`117`

Text Solution

Verified by Experts

The correct Answer is:
D
(i) In `AP, t_n = a + (n-1)d` and in HP, `t_n = (1)/(a+(n-1)d)`.
(ii) Find the values of a and d by using the data.
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