Hey im new to this, thank you its proof needed

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SUMMARY

The discussion centers on proving that for every natural number n, the expression 4^(2n+1) + 3^(n+2) is divisible by 13. Participants suggest using mathematical induction as a method for proof. One user expresses uncertainty about how to apply induction effectively, while another emphasizes the importance of demonstrating initial effort before receiving assistance. The conversation highlights the collaborative nature of problem-solving in mathematical contexts.

PREREQUISITES
  • Understanding of mathematical induction
  • Familiarity with divisibility rules
  • Basic knowledge of exponentiation
  • Experience with natural numbers
NEXT STEPS
  • Study the principles of mathematical induction in detail
  • Practice problems involving divisibility, particularly with modular arithmetic
  • Explore examples of proofs by induction in number theory
  • Review the properties of exponents and their applications in proofs
USEFUL FOR

Students in mathematics, particularly those studying number theory or proof techniques, as well as educators looking for collaborative teaching methods in problem-solving.

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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