Mathematical Induction and Binomial Theorem

Chapter 8 Mathematical Induction and Binomial Theorem, First Year Mathematics Books, Part 1 MCQs math, Intermediate mathematics Quiz with Answers

Induction Binomial Theorem Quiz 1

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The post is about “Induction Binomial Theorem Quiz”. Test your knowledge with this comprehensive MCQ Induction Binomial Theorem Quiz from Chapter 8 of First-Year Mathematics. The First Year Mathematics quiz includes 20 multiple-choice questions covering key concepts to help you prepare for exams. Perfect for students and educators! Let us start with the Induction Binomial Theorem Quiz now.

Online First Year Mathematical Induction Binomial Theorem Quiz with Answers

Online Mathematical Induction and Binomial Theorem from Chapter 8 of First Year Mathematics Part-1 with Answers

1. The number of terms in the expansion of $(a+b)^n$ is

 
 
 
 

2. In the expansion $(a+x)^n$ the exponent of $a$

 
 
 
 

3. The middle term(s) in the expansion of $(a-3x)^{14}$ is/are

 
 
 
 

4. 6th term of the expansion $(a+2x)^{13}$ is

 
 
 
 

5. In the expansion $(a+x)^n$, the sum of exponents of $a$ and $x$ is

 
 
 
 

6. The middle term(s) in the expansion of $(a+b)^{11}$ is/are

 
 
 
 

7. The sum of odd binomial coefficients in the expansion of $(a+x)^n$ is

 
 
 
 

8. The term independent of $x$ in the expansion of $(a+2x)^n$ is

 
 
 
 

9. $\binom{n+1}{0} + \binom{n+1}{1} + \binom{n+1}{2} + \cdots + \binom{n+1}{n+1}$ is equal to

 
 
 
 

10. The statement $3^n < n!$ is true, when $n$ is

 
 
 
 

11. The sum of even binomial coefficients in the expansion of $(a+x)^n$ is

 
 
 
 

12. The general term of the binomial expansion $(a+x)^n$ is

 
 
 
 

13. $\binom{2n}{0} + \binom{2n}{1} + \binom{2n}{2} + \cdots + \binom{2n}{2n}$ is equal to

 
 
 
 

14. 4th term from the end in the expansion of $(a+b)^9$ is

 
 
 
 

15. If $n$ is odd, the middle term(s) in $(a+x)^n$ is/are

 
 
 
 

16. The sum of all binomial coefficients in the expansion of $(a+x)^n$ is

 
 
 
 

17. The coefficient of the last term in the expansion of $(2-x)^7$ is

 
 
 
 

18. In the expansion $(a+x)^n$ the exponent of $x$

 
 
 
 

19. The statement $4^n > 3^n + 4$ is true when

 
 
 
 

20. The $(r+1)$th term in the expansion of $(a+x)^n$ is

 
 
 
 

Online Induction Binomial Theorem Quiz First Year Mathematics

  • The statement $4^n > 3^n + 4$ is true when
  • The statement $3^n < n!$ is true, when $n$ is
  • The general term of the binomial expansion $(a+x)^n$ is
  • The number of terms in the expansion of $(a+b)^n$ is
  • In the expansion $(a+x)^n$, the sum of exponents of $a$ and $x$ is
  • The $(r+1)$th term in the expansion of $(a+x)^n$ is
  • In the expansion $(a+x)^n$ the exponent of $a$
  • In the expansion $(a+x)^n$ the exponent of $x$
  • The middle term(s) in the expansion of $(a+b)^{11}$ is/are
  • The middle term(s) in the expansion of $(a-3x)^{14}$ is/are
  • 6th term of the expansion $(a+2x)^{13}$ is
  • 4th term from the end in the expansion of $(a+b)^9$ is
  • The term independent of $x$ in the expansion of $(a+2x)^n$ is
  • The coefficient of the last term in the expansion of $(2-x)^7$ is
  • The sum of all binomial coefficients in the expansion of $(a+x)^n$ is
  • The sum of odd binomial coefficients in the expansion of $(a+x)^n$ is
  • The sum of even binomial coefficients in the expansion of $(a+x)^n$ is
  • $\binom{n+1}{0} + \binom{n+1}{1} + \binom{n+1}{2} + \cdots + \binom{n+1}{n+1}$ is equal to
  • $\binom{2n}{0} + \binom{2n}{1} + \binom{2n}{2} + \cdots + \binom{2n}{2n}$ is equal to
  • If $n$ is odd, the middle term(s) in $(a+x)^n$ is/are

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