KennedyBrown
Answered

The following list gives the coefficients for the binomial expansion of (x + y)10. What is the value of B?


1, 10, 45, 120, 210, 252, 210, B, 45, 10, 1


1

10

45

120

Verified Answer :

frika

The coefficients for the binomial expansion \((a+b)^n\) are symmetric across the middle term.

For the binomial expansion \((x+y)^{10}\) you will get 10+1=11 coefficients. The 6th term is middle term. If the coeeficients are

1, 10, 45, 120, 210, 252, 210, B, 45, 10, 1,

then the 6th term is 252.

This means that

  • 5th and 7th terms are the same;
  • 4th and 8th terms are the same;
  • 3rd and 9th terms are the same;
  • 2nd and 10th terms are the same;
  • 1st and 11th terms are the same.

If 4th and 8th terms are the same, then B=120.

Answer: correct choice is D

Answer: Answer choice is D


Step-by-step explanation:


Related Questions