# Quiz

1.  Which of the followings represents the sum of purple area demonstrated in the picture to the right?

• $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+...$

• $\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+...$

• $1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...$

• $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...$

2.   According to Archimedes' Method of Exhaustion, which one of the following gives the area of the paraboloic segment in terms of the blue triangle T.

• $\frac{4}{3}T$

• $\frac{3}{2}T$

• T

3. Archimedes is regarded as the father of Integral Calculus. True or False?

• True
• False

4. What type of series does Archimedes' method of exhaustion refer?

• Arithmetic Series
• Geometric Series
• None of the above