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Which term is greater (1, 2)4000 or 800?

Answer»

(1, 2)4000 = (1 + 0.2)4000 

Now, expanding by binomial theorem, we get 

(1 + 0.2)4000 = 4000 C0 (1)4000  (0.2)0 + 4000 C1 (14000  – 1 (0.2)1 +4000 C3 (1)4000 – 3 (0.2)3 + …

 = 1 + 4000(0.2) + other terms of the expansion 

= 1 + 800 + other terms of the expansion 

= 801 + other terms of the expansion 

Hence, (1, 2)4000  > 800



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