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anonymous
 3 years ago
principle of mathematical induction
anonymous
 3 years ago
principle of mathematical induction

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0just one thing wanna ask why we take n=1

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2The simplest and most common form of mathematical induction proves that a statement involving a natural number n holds for all values of n. The proof consists of two steps: The basis (base case): showing that the statement holds when n is equal to the lowest value that n is given in the question. Usually, n = 0 or n = 1. The inductive step: showing that, with respect to each n for which the statement holds, then the statement must also hold when n + 1 is substituted for n.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but we can't take n=0

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2So you show it is true for one value. Then show it is true for 1 more than that value. That shows it is true for all.

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2Not if you're using natural numbers only. Then you might want to take n = 1

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2Notice it says take the lowest value that n (k if you prefer) is given in the question.

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2Show it is true for k. Then the inductive step...show it is true for k+1

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2Maybe that video will help.

DLS
 3 years ago
Best ResponseYou've already chosen the best response.1@msingh You should be polite while conversing with other people on OS and try to make some efforts for giving a proper reply followed by a thanks if a user helped you. It hardly takes your time to write "Okay" rather than k. Just an advice :]

DLS
 3 years ago
Best ResponseYou've already chosen the best response.1Because I see @Mertsj is making a great effort to help you.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0okay..i will keep in mind

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2I know you are thankful, msingh. You always say so and you are most welcome.

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.2I only hope that was helpful.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes,,it was helpful for me
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