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SeattleScoute
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Homework Statement
Prove by matematical induction that (2^(n+1)+9(13^n)) divides by by 11 for all positive intergers
Homework Equations
The Attempt at a Solution
I really have no idea where to start...
Are you also SeattleScoute?jegues said:Is P1 true? If so, then if I say Pk is true is Pk+1 also true?
Are you also SeattleScoute?
Mathematical induction is a proof technique used to show that a statement is true for all natural numbers. It works by first proving that the statement is true for the base case (usually n=1), and then assuming that the statement is true for some arbitrary number n and using that assumption to prove that it is also true for n+1. This process is repeated until the statement is shown to be true for all natural numbers.
Mathematical induction is important because it allows us to prove statements that hold true for all natural numbers without having to check each individual case. This can save a lot of time and effort when dealing with complex mathematical problems.
The steps involved in a mathematical induction proof are:
No, mathematical induction can only be used to prove statements that hold true for all natural numbers. It cannot be used to prove statements about real numbers or other types of mathematical objects.
Some common mistakes to avoid when using mathematical induction include: