Clearly A A a b 1 H H a b 1 1 H H a b A A H H ab G G G G A A H H H H 1 1 Also 0 A A H H 3ab 31 16 17 H 2a b and 22 1 6 1 4 200 3ab a b 1 2b a 2a b 3ab 2b a 2a b 9ab Let P n 25 1 24 n 5735 For n 1 P 1 625 24 5735 6336 24 x 11 which is divisible by 24 Hence P 1 Is true Let P K be the true where K 2 1 25 24 K 5735 24 2 where AEN For n k 1 For x 0 cot x sin P K 1 25 2 24 K 5735 25 25 1 24 K 5735 25 24 K 25 5735 5735 24 K 1 25 24 2 24 K 5735 24 24 25 24 24 K 24 5736 25 24 24 K 24 239 24 2 25 K 230 which is divisible by 24 Hence by the method of mathematical Induction result is true vne N and