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Q1
:
(243)
n
/5
x 3
2
n
+ 1
= ?
9
n
x 3
n
- 1
A
2
B
3
n
C
1
D
9
Solution
ANS:
C
- 9
Given Expression
=
(243)
(
n
/5)
x 3
2
n
+ 1
9
n
x 3
n
- 1
=
(3
5
)
(
n
/5)
x 3
2
n
+ 1
(3
2
)
n
x 3
n
- 1
=
(3
5 x (
n
/5)
x 3
2
n
+ 1
)
(3
2
n
x 3
n
- 1
)
=
3
n
x 3
2
n
+ 1
3
2
n
x 3
n
- 1
=
3
(
n
+ 2
n
+ 1)
3
(2
n
+
n
- 1
)
=
3
3
n
+ 1
3
3
n
- 1
= 3
(3
n
+ 1 - 3
n
+ 1)
= 3
2
= 9.
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