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Question: The sixth term of a H.P. is 1/61 and the 10th term is 1/105. The first term of the H.P. is-...

The sixth term of a H.P. is 1/61 and the 10th term is 1/105. The first term of the H.P. is-

A

1/39

B

1/28

C

1/17

D

1/6

Answer

1/6

Explanation

Solution

1a+5d\frac { 1 } { a + 5 d } = 161\frac { 1 } { 61 } and 1a+9d\frac { 1 } { a + 9 d } = 1105\frac { 1 } { 105 }

a + 5d = 61, a + 9d = 105; After solving, we get a = 1/6