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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]  18 Dec 2017, 12:43
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Question Stats:

71% (01:09) correct 28% (03:48) wrong based on 7 sessions
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]  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]  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]  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]  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]  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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