For (1) you could try listing the first few values of the formula in decimal (this is always a good idea with this sort of problem). You might also like to try listing them in base 17.
1.Prove that is never a prime number.
2. Given
and f(0)=1 and f(1) =0, prove that
3. In a given circle, C is the midpoint of arc ACD. CE is perpendicular to BD(B is a point on the circle between A and C).
If AB= and BE = , find ED in terms of and .
The solution to the difference equation initial value problem:Originally Posted by malaygoel
and
is unique, so we need only show that defined by:
is a solution.
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Now suppose:
,
which is just a rewrite of , and .
Then:
Hence also:
So:
.
Also:
,
That is we have shown that defined by satisfies the initial value problem
and hence is the unique solution.
RonL