## 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.

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