Geometric Sequence

Geometric Sequence

Open Ended

What did you eat for dinner yesterday?

GEOMETRIC SEQUENCE

• Example: -2, 4, -8, 16...

• a ( r^n-1)

• a = The first term.

• r = The common ratio (the number you multiply to get to the next term).

• n = The term you're looking for.

Multiple Choice

What does a represent in ar^n-1?

• Any term

• First term

• Last term

Multiple Choice

What does r represent in ar^n-1?

• Radical

• Common difference

• Common ratio

Multiple Choice

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4

• 3

• 2

• 6

Multiple Choice

Find the common ratio for the geometric sequence.

• 10

• 1/2

• 2

• 4

Multiple Choice

125, 25, 5, ....

Find the 5th term

• 1

• .2

• 1.5

• .5

Multiple Choice

4, 16, 64, ...

Find the 10th term

• 1,048,576

• 599,890

• 237,900

• 1,500,999

Poll

One gotta go

GEOMETRIC SUM

• Example: 3, 9, 27,...

• a ( 1 - rⁿ / 1 - r )

• a = The first term.

• r = The common ratio (the number you multiply to get to the next term).

• n = The terms you're adding up.

Multiple Choice

What is the sum of the first 6 terms of the sequence 4, -12, 36, -144 . . . ?

• 779

• -728

• 728

• 10

Multiple Choice

What is the sum of the first 10 terms of the sequence 3, 6, 12, 24,...

• 3069

• 3079

• 3690

• 3960

Multiple Choice

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Multiple Choice

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

ARITHMETIC SERIES

Multiple Choice

28, 34, 40, 46, 52,...

Find the sum of the 11 terms.

• 550

• 638

• 610

• 288