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1st Year Math Chapter 8 Mathematical Induction and Binomial Theorem MCQs With Answers

by Muntazir mehndi June 9, 2023 594 Views

This is the place where you are getting the 1st Year Math Chapter 8 Mathematical Induction and Binomial Theorem MCQs With Answers. If you are studying for the Entry Test, then this is the place where you will get the MCQs of this chapter. Through these MCQs, you will be able to build concepts on the topics including the Principle of mathematical induction and the principle of extended mathematical induction. After this, the Binomial theorem is very important and there is the concept of the binomial expansion. These MCQs will help you in the topics including the middle term in expansion, deductions from binomial expansion, and applications of the binomial theorem. So, the 1st Year Mathematics MCQs chapter 8 will help you to prepare well for the entry test. A quiz is given below. So, solve this quiz and check the answers.

1st Year Math Chapter 8 Mathematical Induction and Binomial Theorem MCQs With Answers

281

Math Chapter 8

1 / 17

1. 4th term from the end in the expansion of (a + b)⁹ is

A) T7

B) T6

C) none of these

D) T4

2 / 17

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

A) becomes 0 at the end

B) Remains n everywhere

C) Increases from 0 to n

D) Decreases from n to 0

3 / 17

3. Middle term/s in the expansion of (a+b)¹¹ is/ are

A) T6

B) T5 & T6

C) T5

D) T6 & T7

4 / 17

4. The series (l+x)ⁿ is valid if

A) x < 1

B) x=1

C) - 1< x < 1

D) x > 1

5 / 17

5. The Sum of all binomial coefficients in the expansion of (a + x)ⁿ is.

A) n+1

B) 2n

C) 2^n-1

D) 2^n+1

6 / 17

6. The number of terms in the expansion of (a+ b)²⁰ is:

A) 18

B) 21

C) 20

D) 19

7 / 17

7. The Sum of even binomial coefficient in the expansion of (a + x)ⁿ is

A) 2^n-1

B) n+l

C) 2^n+1

D) 2n

8 / 17

8. Which term of (x + 2)⁸ is independent of x

A) Second

B) Last

C) First

D) Middle

9 / 17

9. In the expansion (q +x)ⁿ the exponent of 'a'

A) Increases from 0 to n

B) remains n everywhere

C) becomes n at the end

D) decreases from n to 0

10 / 17

10. Middle term/s in the expansion of (a - 3x)¹⁴ is/are.

A) T7

B) T6 & T7

C) T7 & T8

D) T8

11 / 17

11. The Sum of odd binomial coefficients in the expansion of (a + x)ⁿ is

A) 2^n+1

B) n+1

C) 2n

D) 2^n-1

12 / 17

12.

The statement 3n< n! is true, when

A) n=6

B) n>6

C) n = 4

D) n=2

13 / 17

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

A) 2nd last term

B) last term

C) Middle term

D) first term

14 / 17

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

A) n + 1

B) n

C) 2n

D) n-1

15 / 17

15. Number of terms in the expansion of (1 + X)ⁿis:

A) n^n -1

B) n + l

C) n

D) n/2

16 / 17

16. The statement 4n> 3n-+ 4 is true when

A) n>= 2

B) n = 0

C) n is any positive integer

D) n = 1

17 / 17

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

A) 1

B) - 7

C) 7

D) 1

Your score is

1st Year Math Chapter 8 Mathematical Induction and Binomial Theorem MCQs With Answers

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