11th Math Practical No.13 Mathematical induction and Binomial theorem. Answer Solution | Maharashtra Board HSC Board | Balbharati

 

11th Std Math Practical

Mathematics and Statistics (Arts and Science)

Answers (Solutions)

Practical  No.13

13)Mathematical induction and Binomial theorem

Practical Session No. 13-Mathematical induction and Binomial theorem

11th Math Practical No.13 Mathematical induction and Binomial theorem. Answer Solution | Maharashtra Board HSC Board | Balbharati

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Practical Session No. 13

Mathematical induction and Binomial theorem

1. Prove the following statements using principle of Mathematical Induction.

a) 133nn+<

b) 23nn+ is divisible by 2

c) ()1111...12233411nnnn++++=⋅⋅⋅++

d) ()1012310110210310log...logloglog...lognnaaaaaaaa=++++

2. Using Binomial Theorem expand ()53x+.

3. Expand each expression using Binomial Theorem

a) ()62xy+ b) ()423x+ c) ()31/32/3xy+ d) ()41/43xy+

4. Find the 5th term in the Binomial expansion of a) ()73xy+ b) ()427x− c) ()923xy+

5. Find the coefficient A of the given term in each of the binomial expansion

Binomial

Term

a

()75x+

A6x

b

()8231y−−

A8y−

c

64xx−

A0x

d

()42xy+

A22xy

6. Use Binomial theorem to express in the form of a+ ib

a) ()51i+ b) ()434+− c) ()627i

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