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Mathematical Induction and Binomial Theorem
The coefficients of three consecutive terms of (1 + x)n + 5 are in the ratio 5 : 10 : 14. Then n =
The term independent of x in expansion of
For r = 0,1,…..10, let Ar, Br and Cr denote, respectively, the coefficient of xr in the expansions of , and Then is equal to
Use mathematical induction to show that (25)n+1 – 24n + 5735 is divisible by (24)2 for all n = 1, 2, 3, ....
E.g: 9876543210, 01112345678
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