Principle of Mathematical Induction For 11th Class

1. Principle of mathematical induction.

(i). First of all verify that P(1) is true.

(ii). Then assume that P(m) is true.

(iii). Prove that P(m + 1) is also true.

∴   Show that P(m) is true  ⇒  P(m + 1) is true.

2. Given expression is divisible by an integer.

(i). First of all show that F(1) is divisible by x.

(ii). Then assuming f(m) to be divisible by x show that F(m+1) is also divisible by x.

For this divide F(m + 1) by F(m) and then Show that the remainder thus go it is divisible by x.