# Worksheet: Sigma Notation

In this worksheet, we will practice expressing a series in sigma notation and how to expand and evaluate the sigma notation.

Q1:

Expand and then evaluate .

• A
• B
• C
• D
• E

Q2:

Expand and then evaluate .

• A.
• B.
• C.
• D.

Q3:

Expand and then evaluate .

• A
• B
• C
• D

Q4:

Evaluate .

Q5:

Evaluate .

Q6:

Evaluate .

• A
• B
• C
• D

Q7:

Evaluate .

• A
• B
• C
• D
• E

Q8:

Express the series in sigma notation.

• A
• B
• C
• D

Q9:

Express the series in sigma notation.

• A
• B
• C
• D

Q10:

Express the series in sigma notation.

• A
• B
• C
• D

Q11:

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, 10 cubes
• B, 21 cubes
• C, 10 cubes
• D, 15 cubes

Q12:

Expand and then evaluate .

• A
• B
• C
• D

Q13:

Evaluate .

• A8,064
• B26,637
• C12,672
• D10,560

Q14:

Expand .

• A
• B
• C
• D

Q15:

Expand and then evaluate .

• A,
• B,
• C,
• D, 458

Q16:

Expand and then use direct substitution to evaluate .

• A
• B
• C
• D
• E

Q17:

Expand .

• A
• B
• C
• D

Q18:

Expand and then evaluate .

• A,
• B,
• C,
• D,

Q19:

Expand and then evaluate .

• A, 251
• B,
• C,
• D,

Q20:

Express the series in sigma notation to terms.

• A
• B
• C
• D
• E

Q21:

Find the value of .

• A
• B
• C
• D
• E

Q22:

Express the series in sigma notation.

• A
• B
• C
• D

Q23:

Express the series in sigma notation .

• A
• B
• C
• D

Q24:

Express the series in sigma notation.

• A
• B
• C
• D

Q25:

Express the series in sigma notation.

• A
• B
• C
• D