Binomial TheoremHard
Question
Let f(n) = 10n + 3.4n +2 + 5, n ∈ N. The greatest value of the integer which divides f(n) for all n is :
Options
A.27
B.9
C.3
D.None of these
Solution
f(n) = 10n + 3.4n+2 + 5
put n = 1
f(1) = 10 + 192 + 5 = 207 this is divisible by 3 and 9
put n = 1
f(1) = 10 + 192 + 5 = 207 this is divisible by 3 and 9
Create a free account to view solution
View Solution FreeMore Binomial Theorem Questions
If (9 + )n = I + f, where I, n are integers and 0 < f < 1, then :...The term independent of x in the expansion of will be -...The total number of distinct terms in the expansion of, (x + a)100 + (x - a)100 after simplification is :...Find the sum of the series + .........The coefficient of the term independent of y in the expansion of is -...