Question

The coefficient of t50 in (1 + t2)25 (1 + t25) (1 + t40) (1 + t45(1 + t47)……(1) is

 

Solution

Correct option is

As we are interested in coefficient of t50, we shall ignore all the term with exponent more than 50. Thus, we can write (1) as

As all the terms in the first expression have even exponent we can ignoret25t45 and t47 too. Thus. Coefficient of t50 in (1)

SIMILAR QUESTIONS

Q2

Sum of the last 30 coefficients in the expansion of (1 + x)59 when expanded in ascending powers of x is

Q3

 then k is equal to:

Q4

 is maximum when m is

Q5

If ω ≠ 1 is a cube root of unity and (ω + x)n = 1 + 12ω + 69ω +…. Then values of n and x are respectively.

Q6

If ω ≠ 1, is nth root of unity, and  then value of x is

Q7

The remainder when  (24 times 5) is divided by 24 is

Q8

 divided by 7 is

Q9

If in the expansion of (a – 2b)n. the sum of 4th and 5th term is 0, then value of  is

Q10

 is a polynomial of degree