Hey im new to this, thank you its proof needed

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Homework Help Overview

The problem involves proving that for every natural number n, the expression 4^(2n+1) + 3^(n+2) is divisible by 13. This falls under the subject area of number theory, specifically focusing on divisibility and proof techniques.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the possibility of using mathematical induction as a method for the proof. The original poster expresses uncertainty about how to apply this technique effectively.

Discussion Status

The discussion is ongoing, with some participants suggesting the use of induction while others emphasize the importance of the original poster demonstrating their own efforts before receiving further assistance. There is a clear indication of a need for clarification on the proof process.

Contextual Notes

The original poster has indicated a lack of familiarity with proof techniques, which may affect their ability to engage with the problem. There is an emphasis on the forum's policy of guiding rather than providing direct solutions.

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.
 

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