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

- $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+\mathrm{...}$
- $\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+\mathrm{...}$
- $1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\mathrm{...}$
- $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\mathrm{...}$

**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