Engineering Board Exam Reviewer · Binomial Theorem · medium

Find the constant term in the expansion of ≤ft(x+ 1x )10.

  1. 252
  2. 210
  3. 120
  4. 512

Answer

A. 252

Solution

The general term is 10rx10-rx-r= 10rx10-2r. The constant term needs r=5: 105=252.

More Binomial Theorem questions

  1. Find the coefficient of x5 in the expansion of (2x-1)8.
  2. Find the 4th term in the expansion of (x+y)6.
  3. Find the coefficient of x3 in the expansion of (1+x)4(1-x)2.
  4. The coefficients of the 2nd, 3rd, and 4th terms in the expansion of (1+x)n are in arithmetic progression. Find n (with n≥3).
  5. Using the first three terms of the binomial expansion, approximate (1.02)10.
  6. Find the sum of the coefficients in the expansion of (3x-2)6.
  7. Find the term independent of x in the expansion of ≤ft(2x2- 1x )9.

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