Question

What is Induction?

Answer 1

Mathematical induction you mean right ?

Answer 2

Yes.

Answer 3

is it mathematical induction?

Answer 4

Yes.

Answer 5

So can you rely solely upon induction to prove that my conclusion is correct?

Answer 6

A type of proof that deserves special attention is mathematical induction. Some of the statements of theorems which can be proved using mathematical induction involve an integer variable.

Answer 7

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers (positive integers). It is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in the infinite sequence of statements is true, then so is the next one.

The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion.
source : http://en.wikipedia.org/wiki/Mathematical_induction

Answer 8

does that help @Aperez ?

Answer 9

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers (positive integers). It is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in the infinite sequence of statements is true, then so is the next one.
The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion.
Mathematical induction should not be misconstrued as a form of inductive reasoning, which is considered non-rigorous in mathematics (see Problem of induction for more information). In fact, mathematical induction is a form of rigorous deductive reasoning.[1]



http://en.wikipedia.org/wiki/Mathematical_induction

Answer 10

@sambhav__jain thats just what i posted above

Answer 11

Okay thank you all very much...I appreciate your help. Yes indeed @AravindG and @sambhav__jain . lol

Answer 12

you may use this theorem in proving mathematical induction \[1+2+3+...+n = \frac{ n(n+1) }{2 ? }\]

Answer 13

just copied from wiki

Answer 14

Thankyou @jaja22 I think I fully understand now.

Answer 15

your very much welcome :)

Answer 16

:)