Hey im new to this, thank you its proof needed

roopi
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Homework Statement



Prove that for every natural number n we have that 4^(2n+1) + 3^ (n+2) is divisible by 13


Homework Equations





The Attempt at a Solution



im not too sure any help or anything please
 
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Are you familiar with proofs by induction? Try using that.
 
no I am really familiar with that, i know that i have to use but I am not sure how to, could you please help on how to answer this pleases, thank you
 
roopi said:
no I am really familiar with that, i know that i have to use but I am not sure how to, could you please help on how to answer this pleases, thank you

Unfortunately, that is not how we work here. We help people with their assignment but do not do them for people.

Show us what you have done and we will be willingly to help you. If you don't put in any effort then it is unreasonable for you to expect real help.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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