n^2 - 14n + 40, is this quadratic composite or prime - when n ≤ 0.
Determine, all integer values of 'n' - for which n^2 - 14n + 40 is prime?
Proof Required.
ps. I can do the workings, but the 'proof' is the problem.
Many Thanks
John.
Dear ALL,
My last Question of the Day?
Let b1 and b2 be a sequence of numbers defined by:
b_{n}=b_{n-1}+2b_{n-2} where $b_1=1,\,b_2=5$ and $n\ge3$
a) Write out the 1st 10 terms.
b) Using strong Induction, show that:
b_n=2^n+(-1)^n
Many Thanks
John C.
Hi There,
My apologies, there was an error...in a previous question, which I POSTED ....last week.
This question has now been withdrawn, & replaced with the following :
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a) Show...
Dear ALL,
Today, I am really struggling to complete...an important Assignment on time?
In particular, this Question has ...Frazzled me, re Truth Tables etc etc...?
Any good advice, by close of business - greatly appreciated...
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Hi There,
Thanks a lot for the reply.
But, your solutions ignores the fact, that 'm' cannot be less than 'N' ...as per the QUESTION??
So, your solution...is not really addressing the Question...
if n is a positive integer greater than 2 and m the smallest integer greater than or = n, that is a perfect square.
Let a = m-n.
Show that if n is prime, then a is not a perfect square.
Also, is the converse of above true, for any integer n?
any guidance, will be much appreciated?
Thanks