Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(b)>Q III

EASY

12th Andhra Pradesh Board

IMPORTANT

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If $x = \frac{5}{(2!) \cdot 3} + \frac{5 \cdot 7}{(3!) \cdot 3^{2}} + \frac{5 \cdot 7 \cdot 9}{(4!) . 3^{3}} + \dots,$ then find the value of $x^{2} + 4 x$ .

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Important Questions on Binomial Theorem

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(b)>Q III

The sum to infinite terms of the series

\frac{7}{5} (1 + \frac{1}{10^{2}} + \frac{1 \cdot 3}{1 \cdot 2} \cdot \frac{1}{10^{4}} + \frac{1 \cdot 3 \cdot 5}{1 \cdot 2 \cdot 3} \cdot \frac{1}{10^{6}} + \dots)

is

\sqrt{k}

then find the value of

k

.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(b)>Q III

Show that

1 + \frac{x}{2} + \frac{x (x - 1)}{2 \cdot 4} + \frac{x (x - 1) (x - 2)}{2 \cdot 4 \cdot 6} + \dots = 1 + \frac{x}{3} + \frac{x (x + 1)}{3.6} + \frac{x (x + 1) (x + 2)}{3.6.9} + \dots

for any non zero rational number

x

.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Find an approximate value of

\sqrt[5]{242}

corrected to

4

decimal places.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Find an approximate value of

\sqrt[7]{127}

corrected to

4

decimal places.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Find an approximate value of

\sqrt[5]{32.16}

corrected to

4

decimal places.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Find an approximate value of

\sqrt{199}

corrected to

4

decimal places.

MEDIUM

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Find an approximate value of

\sqrt[3]{1002} - \sqrt[3]{998}

corrected to

4

decimal places.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Find an approximate value of

{(1.02)}^{\frac{3}{2}} - {(0.98)}^{\frac{3}{2}}

corrected to

2

decimal places.