Maths-
General
Easy
Question
If A =
and n
N, then An is equal to-
- 2nA
- 2n–1 A
- nA
- None of these
The correct answer is: 2n–1 A
we are given that A =
and n
N and we need to find what An is equal to
![A equals open square brackets table row 1 1 row 1 1 end table close square brackets
A squared space equals open square brackets table row 1 1 row 1 1 end table close square brackets open square brackets table row 1 1 row 1 1 end table close square brackets
equals open square brackets table row 2 2 row 2 2 end table close square brackets equals 2 A space
A cubed space equals A squared space space. A equals 2 A. A equals 2 left parenthesis A squared right parenthesis equals 2.2 A equals 2 to the power of left parenthesis 3 minus 1 right parenthesis end exponent space A
space T h e n space i n space g e n e r a l space A space space n space space equals 2 to the power of n minus 1 end exponent A](data:image/png;base64,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Therefore the correct option in choice 2
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