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If n is an integer, what is the least possible value of

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If n is an integer, what is the least possible value of [#permalink] New post 18 Dec 2017, 12:43
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If n is an integer, what is the least possible value of \(3^n + (3)(3^{-n})\)

A. 1

B. 2

C. 3

D. \(3 \frac{1}{3}\)

E. 4
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Re: If n is an integer, what is the least possible value of [#permalink] New post 20 Dec 2017, 02:12
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Carcass wrote:
If n is an integer, what is the least possible value of \(3^n + (3)(3^{-n})\)

A. 1

B. 2

C. 3

D. \(3 \frac{1}{3}\)

E. 4



Since n = is an integer

therefore we can write the above equ as = \(3^0\) + \(\frac{3}{3^0}\)= 1 + 3 =4 which is the least possible answer
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Re: If n is an integer, what is the least possible value of [#permalink] New post 20 Dec 2017, 18:14
For this kind of question, do we always need to plug 0?
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Re: If n is an integer, what is the least possible value of [#permalink] New post 20 Dec 2017, 23:19
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Popo wrote:
For this kind of question, do we always need to plug 0?



It all depends to the quest. since n is an integer and zero is also an integer, so if we substitute zero in place of n we get the least value
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Re: If n is an integer, what is the least possible value of [#permalink] New post 26 Nov 2018, 16:16
pranab01 wrote:
Popo wrote:
For this kind of question, do we always need to plug 0?



It all depends to the quest. since n is an integer and zero is also an integer, so if we substitute zero in place of n we get the least value

Here, n=1, also give the same answer.
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Re: If n is an integer, what is the least possible value of [#permalink] New post 27 Nov 2018, 05:26
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AE wrote:
pranab01 wrote:
Popo wrote:
For this kind of question, do we always need to plug 0?



It all depends to the quest. since n is an integer and zero is also an integer, so if we substitute zero in place of n we get the least value

Here, n=1, also give the same answer.



Plz see below the properties of Zero,

https://www.rapidtables.com/math/number ... umber.html

As for the ques. yes 1 also provide the same answer but you may be lucky , if the ques states: \((4^n + \frac{(2)}{(4^{n})})\)

will n = 0 and n= 1 provide the same answer?
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Re: If n is an integer, what is the least possible value of   [#permalink] 27 Nov 2018, 05:26
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