Math Problem Statement
Use the theory of congruence to show that 7|5^2n + 3.2^(5n-2)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Exponentiation
Congruences
Divisibility
Formulas
a ≡ b (mod n)
5^6 ≡ 1 (mod 7)
2^3 ≡ 1 (mod 7)
Theorems
Periodicity in Modular Arithmetic
Modular Exponentiation
Suitable Grade Level
Grades 11-12
Related Recommendation
Proof by Induction: Divisibility of 7^n - 2^n by 5
Solving Modular Arithmetic Problem with Reversed Divisors
Proving Divisibility of Expressions Involving Powers and Modular Arithmetic
Finding the Last Digit of Powers in Modular Arithmetic
Solving Congruence Systems: Finding a Number That Satisfies Multiple Remainder Conditions