Infinite series Quiz 1

Question 1

Value of $$''a''$$ if $$32+16+8+4+2+\,...=a$$ is

Accepted Answer

$$64$$

Answer

$$16$$

Answer

$$32$$

Answer

$$18$$

Question 2

Find the value of first term $$\left( a \right)$$, if the sum of infinite series is $$64$$ and $$r=\dfrac{3}{4}$$ is

Accepted Answer

$$16$$

Answer

$$20$$

Answer

$$18$$

Answer

$$14$$

Question 3

Find the value of common ratio $$\left( r \right)$$, if $${{S}_{\infty }}=50$$ and $$a=10$$ is

Accepted Answer

$$\dfrac{4}{5}$$

Answer

$$\dfrac{3}{5}$$

Answer

$$\dfrac{2}{5}$$

Answer

$$\dfrac{2}{3}$$

Question 4

Value of the sum of the series $$-5+\dfrac{-5}{3}+\dfrac{-5}{9}+\dfrac{-5}{27}+\,.....$$

Accepted Answer

$$\dfrac{-15}{2}$$

Answer

$$\dfrac{-10}{3}$$

Answer

$$\dfrac{-17}{2}$$

Answer

$$-10$$

Question 5

Value of the sum of the series $$1-\dfrac{2}{3}+\dfrac{4}{9}-\dfrac{8}{27}+\dfrac{16}{81}$$ is

Accepted Answer

$$\dfrac{3}{5}$$

Answer

$$\dfrac{5}{3}$$

Answer

$$\dfrac{2}{7}$$

Answer

$$\dfrac{-7}{2}$$