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If the second term of an HP is 1/6 and the fourth terms is 1/14, then find the tenth term of the HP ?
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- 1/32
- 1/36
- 1/38
- 1/40
Correct Option: C
The second and fourth term of the HP are 1/6 and 1/14 respectively,
Hence, for the corresponding AP, the second term is 6 and fourth term is 14.
Hence a + d = 6 and a + 3d = 14
∴ 2d = 8
⇒ d = 4 and a = 2
Hence, the 10th term of this AP = a + (10 -1)d
= 2 + (10 - 1)x 4 = 2 + 9 x 4
= 2 + 36 = 38
Hence, for the corresponding HP, the 10th term is 1/38.
