In this worksheet, we will practice expanding an expression written using sigma notation and using it to express the sum of a sequence of terms that follow a rule.

**Q2: **

Expand and then evaluate .

- A
- B
- C
- D
- E

**Q3: **

Expand and then evaluate .

- A .
- B .
- C .
- D .

**Q4: **

Expand and then evaluate .

- A
- B
- C
- D

**Q5: **

Evaluate .

- A
- B
- C62
- D126

**Q6: **

Evaluate .

**Q7: **

Evaluate .

- A
- B
- C
- D

**Q8: **

Evaluate .

- A
- B
- C
- D
- E

**Q9: **

Express the series in sigma notation.

- A
- B
- C
- D

**Q10: **

Express the series in sigma notation.

- A
- B
- C
- D

**Q11: **

Express the series in sigma notation.

- A
- B
- C
- D

**Q12: **

A child wants to build a pyramid using identical wooden cubes. The pyramid’s apex consists of one cube, its second row consists of two cubes, and its third row consists of three cubes, and so on for five rows. Use the sigma notation to describe the amount of cubes needed to build the pyramid and then calculate this number.

- A , 21 cubes
- B , 10 cubes
- C , 10 cubes
- D , 15 cubes

**Q13: **

Expand and then evaluate .

- A
- B
- C
- D

**Q14: **

Evaluate .

- A 10,560
- B 12,672
- C 26,637
- D 8,064

**Q15: **

Expand .

- A
- B
- C
- D

**Q16: **

Expand .

- A
- B
- C
- D