If sixth term of a H.P. is 1 61 and its tenth term is 1 105 , then first term of that H.P. is Options: A . &nbsp128 B . &nbsp139 C . &nbsp16 D . &nbsp117

Answer: Option C : C T 6 of H.P. = 1 61 ⇒ T 6 of A.P. = 61 and T 10 of H.P. = 1 105 ⇒ T 10 of A.P. = 105, so, a + 5d = 61 ........(i) and a + 9d = 105 .....(ii) From (i) and (ii), a= 6 Therefore first term of H.P. = 1 a = 1 6 .

If sixth term of a H.P. is 161 and its tenth term is 1105, then first term of th

Question

If sixth term of a H.P. is

\frac{1}{61}

and its tenth term is

\frac{1}{105}

, then first term of that H.P. is

Options:

A . 128

B . 139

C . 16

D . 117

Answer: Option C
:
C

T_{6}

of H.P. =

\frac{1}{61} \Rightarrow T_{6}

of A.P. = 61
and

T_{10}

of H.P. =

\frac{1}{105} \Rightarrow T_{10}

of A.P. = 105,
so, a + 5d = 61 ........(i) and a + 9d = 105 .....(ii)
From (i) and (ii), a= 6
Therefore first term of H.P. =

\frac{1}{a}

\frac{1}{6}

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