Binomial TheoremHard

Question

If n is a positive integer, then is :

Options

A.a rational number other than positive integers
B.an irrational number
C.an odd positive integer
D.an even positive integer

Solution


Using Binomial
= 2[T2 + T4 + T6 + ........ + T2n]
= 2[2nC1(√3)2n-1+ 2nC3(√3)2n - 3 + ..........]
= An Irrational Number

Create a free account to view solution

View Solution Free
Topic: Binomial Theorem·Practice all Binomial Theorem questions

More Binomial Theorem Questions

Let ∈ N. If (1 + x)n = a0 + a1x + a2x2 + .......... + anxn and an-3, an-2, an-1 are in AP, then -...If x4 occurs in the rth term in the expansion of , then r equals-...The middle term in the expansion of is -...The value of (√2 + 1)5 − (√5 − 1)5 is -...If Cr stands for nCr, then the sum of first (n + 1) terms of the series a C0 − (a + d) C1 + (a + 2d) C2 − (a...