In a H.P 4th 1/9 ,13th term is 1/27 then the 8th term is
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Answer:
=T
n
⎣
⎢
⎢
⎢
⎢
⎢
⎢
⎡
∵GeneralterminHP
a+(n−1)d
1
Whereafirsttermand
d=commondifference
⎦
⎥
⎥
⎥
⎥
⎥
⎥
⎤
T
7
=
20
1
(given)
T
13
=
38
1
(given)
T
7
=
a+(7−1)d
1
20
1
=
a+6d
1
a+6d=20→(i)
T
13
=
a+12d
1
38
1
=
a+12d
1
a+12d=38→(ii)
Substractequation(ii)from(i)
a+12d=38
−
a+6d=20
6d=18
d=3
Puttingd=3ineq
n
(i)
a+18=20
a=2
Then,
T
4
=
a+3d
1
=
2+3×3
1
=
11
1
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