3. Topic 3(COLON) Sequences, Series and Summation

Lesson 3.4: The Binomial Expansion For Any Rational Index — Quiz

Test your understanding of lesson 3.4: the binomial expansion for any rational index with 5 practice questions.

Practice Questions

Question 1

What is the binomial expansion of $(1 + x)^{-2}$ up to the term containing $x^2$?

Question 2

In the binomial expansion of $(1 + x)^{1/2}$, what is the coefficient of $x^3$?

Question 3

What is the interval of validity for the binomial expansion of $(1 + x)^{-1/3}$?

Question 4

What is the second term in the expansion of $(a + bx)^{4}$?

Question 5

In the expansion of $(1 + x)^{3/2}$, what is the term for $x^2$?