PLEASE HELP!!!! CUMULATIVE EXAM!!!! 50 POINTS
1 answer:
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Answer:
is a factor of
Step-by-step explanation:
is a factor of
We will prove this with the help of principal of mathematical induction.
For n = 1, is a factor
, which is true.
Let the given statement be true for n = k that is is a factor of
.
Thus, can be written equal to
, where y is an integer.
Now, we will prove that the given statement is true for n = k+1
Thus, is divisible by
.
Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.