Recent content by Math10

Thank you so much!

Homework Statement Calculate 2^100 in ZZ11. Homework Equations This is a Linear Algebra problem. The Attempt at a Solution Here's my work: 2^5=32=-1 mod 11 2^10=1 mod 11 2^100=1 mod 11 ---------------------------- I think the answer is 1 since that's the remainder, am I right?

I got it now. Thank you so much.

I still don't really get it.

So how do I get to the answer? I know where x-3 comes from.

You mean this: n=2m (even index) a2m+2=a2m/[(2m+2)(2m+1)] ---------------------------------------------------------------------------- n=2m+1 (odd index) a2m+3=a2m+1/[(2m+3)(2m+2)]

I know that's the right answer, but what should I do to get to the right answer after the last step in my work? That's where I got stucked.

Can you please take a look at the work that I posted? It's clearly written.

What I did was the substitution method using z=x-x0. The answer for this problem is

Homework Statement Find the power series in x-x0 for the general solution of y"-y=0; x0=3. Homework Equations None. The Attempt at a Solution Let me post my whole work:

Is Discrete Mathematics hard? Is it pure or applied math?

And the answer is

This is my work.

Homework Statement Find the power series in x-x0 for the general solution of y"-y=0; x0=3. Homework Equations None. The Attempt at a Solution I'll post my work by uploading it.

But that's not the answer in the book. How do I get the answer in the book?