Engineering Board Exam Reviewer · Binomial Theorem · medium

Using the first three terms of the binomial expansion, approximate (1.02)10.

  1. 1.2
  2. 1.38
  3. 1.02
  4. 1.218

Answer

D. 1.218

Solution

(1+0.02)10 1+10(0.02)+ 102(0.02)2=1+0.2+45(0.0004)=1.218.

More Binomial Theorem questions

  1. Find the sum of the coefficients in the expansion of (3x-2)6.
  2. Find the term independent of x in the expansion of ≤ft(2x2- 1x )9.
  3. Find the constant term in the expansion of ≤ft(x+ 1x )10.
  4. Find the coefficient of x5 in the expansion of (2x-1)8.
  5. Find the 4th term in the expansion of (x+y)6.
  6. Find the coefficient of x3 in the expansion of (1+x)4(1-x)2.
  7. 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).

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