Using binomial theorem evaluate ${\left(102\right)}^5$.

Important Questions on Binomial Theorem

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 5

Using binomial theorem evaluate ${\left(101\right)}^4$.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 5

Using binomial theorem evaluate ${\left(98\right)}^5$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 6

Using binomial theorem, prove that $2^{3\mathrm{n}}-7\mathrm{n}-1$ is divisible by $49$, where $\mathrm{n}\in \mathrm{N}$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 7

Using binomial theorem, prove that $3^{2\mathrm{n}+2}-8\mathrm{n}-9$ is divisible by $64$, $\mathrm{n}\in \mathrm{N}$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 8

If $\mathrm{n}$ is a positive integer, prove that $3^{3\mathrm{n}}-26\mathrm{n}-1$ is divisible by $676$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 9

Using binomial theorem, indicate which is larger ${\left(1.1\right)}^{10000}$ or $1000$?

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 10

Using binomial theorem determine which number is smaller ${\left(1.2\right)}^{4000}$ or $800$?

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 18 - Binomial Theorem>EXERCISE 18.1>Q 11

Find the value of ${\left(1.01\right)}^{10}+{\left(1-0.01\right)}^{10}$ correct to $7$ places of decimal.