Geometric Sequences

Write the explicit equation for the geometric sequence:

4, 16, 64...

• t(n) = 3ⁿ

• t(n) = 2ⁿ

• t(n) = 5ⁿ

• t(n) = 4ⁿ

What is the zeroth term?

• 5

• 625

• 250

• 125

Write the explicit equation for the geometric sequence: 15, 45, 135, . . . ?

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50

• $35

• $320

• $250

Find the common ratio for the geometric sequence.

• 10

• 1/2

• 2

• 4

Find the common ratio for the geometric sequence.

• 1

• -1

• 7

• -7

Find the common ratio for the geometric sequence.

• -4

• 4

• 1/4

• -1/4

Is the sequence 2, 4, 12, 48,... geometric?

• yes

• no

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

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

• arithmetic

• geometric

• neither