Summation Notation, Geometric and Arithmetic Series

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

Which of the following statements are true? Select all that apply.

• A finite series will have a partial sum of the infinite series

• Summation notation can indicate a sequence or a series

• A convergent series will eventually end with a final term

• Arithmetic and geometric series are built from arithmetic and geometric sequences

What are the next three terms of the arithmetic sequence below?

Match each of the summation notations below to the correct series it describes.

• 14+15+16+17+18+19

• 16+29+44+61+80

• 9+17+33+65+129

It is a sum of a sequence according to rule.

• Sequence

• Series

• Sigma Notation

• Sequencing

Which of the following expressions correspond to the summation in the illustration?

• 
• 
• 
• 

This is a convenient and simple form of shorthand used to give a concise expression for a sum of the values of a variable.

• Sequence

• Series

• Sigma Notation

• Sequencing

Find a₈ in the geometric sequence 4, 8, 16, 32, ...

• 1024

• 512

• 256

• 2048

Evaluate the sum.

• 60

• 21

• 6

• 90

For the arithmetic sequence 91, 94, 97, 100, ... , find the 8th term

• 109

• 112

• 115

• 118