1.

Find the value of (1.2)55 using Binomial theorem upto 4 places of decimals.

Answer»

(1.2)55 = (1 + 0.2)5

= 155 + 5C1(0.2) + 5C2(0.2)2 + 5C3(0.2)3 + 5C4(0.2)4 + (0.2)5 

= 1 + 5(0.2) + 10 (0.04) + 10(0.008) + 5(00004) + (0.00032) 

= 2.4883



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