I wrote out the word pie in place of the actual symbol.

Question

Consider (pie n+pie n-1)�(pie n-pie n-1)= 1 for n �greater than or equal to 1.

a) Provide two numerical examples illustrating its validity.
b) Show the statement is true in general.
c) What is the difference between using numerical values to show that something is true and showing in general that something is true?
showing in general that something is true?

Answer 1

To me,
Πn=product of integers from 1 to n, which is equivalent to n!.

It evidently is not because the expression would way exceed 1.

So please explain what Πn is supposed to represent.

Answer 2

In front of the letter n there is actually the pie sign

Answer 3

Is πn a sequence or is it a function?

At the beginning of the question define what πn is to represent?

Answer 4

And it is the (square root of n + the square root of n-1)(square root of n - square root of n-1)= 1 for n great than or equal to 1.

Answer 5

I have the same question for homework.

Answer 6

This is what it looks like:

(¡Ìn + ¡Ìn − 1) (¡Ìn − ¡Ìn − 1) = 1 for n ¡Ý 1

Answer 7

Opps square root symbols didn't come out right sorry.