pranab01 wrote:
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?
Question states: If n is an integer, what is the least possible value of \((3^n + \frac{(3)}{(3^{n})})\)
but you change the basic structure of this question stem which states: \((a^n + \frac{(a)}{(a^{n})})\)
You can not change it to 2 in the numerator of second part.
\((4^n + \frac{(2)}{(4^{n})})\)
If you follow the stem
if a=3
\((3^n + \frac{(3)}{(3^{n})})\)
if a=4
\((4^n + \frac{(4)}{(4^{n})})\)
if a=2
\((2^n + \frac{(2)}{(2^{n})})\)
........
\((a^n + \frac{(a)}{(a^{n})})\)
Always n=0, n=1 works for this because we when n=0, first part is= 1 and second part is a. and
when n=1 first part is= a and second part is 1.
Hence, the result is either 1+a or a+1.
Hope this would clear the confusion about this question.
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Let me know if I am wrong.