Question

Difference between mathematical induction and deduction

Answer 1

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Deduction is drawing a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in mathematical argument.
For example to solve 2x = 6
For x we divide both sides by 2 to get 2x/2 = 6/2 or x=3. What we know or assume is that 2x=6 and that you can divide both sides of an equation by any non-zero number and the equation is still valid. From this two facts we deduce that x= 3.


Mathematical induction is a particular type of mathematical argument. It is most often used to prove general statements about the positive integers.

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Answer 2

Deduction is drawing a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument.

For example, to solve 2x=6, for x we divide both sides by 2 to get 2x/2= 6/2 or 3.

Mathematical induction is a particular type of mathematical argument. It is most of used to prove general statements about the positive integers.

For example, you could use mathematical induction to prove that for every positive integer n, 1+2+3....+n = n(n+1)/2 or that for every positive integer n, 7 divides 11^n - 4^n.

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