Geometric Sequences

n represents what?

• geometric sequence

• term number

• ratio

• term value

• 640

• 512

• 840

• 6400

A farmer's reservoir is initially filled with water to the 4 metre mark. Each month this decreases by 3%.

Identify which formula you would use to find r for this scenario.

Identify the defining feature of a geometric sequence.

• the difference between terms doubles each time

• The next term can be found by adding to the current term.

• the first term is smaller then any other term

• The next term can be found by multiplying the previous.

Identify the value of the common ratio, r, for this geometric sequence:

3, −12, 48, −192, ...

Certain bank offers an interest rate of 3% p.a. on its investment saver account. Sanchez deposits $5000 into his investment saver account. 

Establish a general term formula that describes the amount in Sanchez's account after n years.

A sample of 14000 bacteria undergo division and double their numbers every five hours. Determine the total number of bacteria after 15 hours.

The seventh term of a geometric sequence is 11664 and the tenth term is 251942.

Find the second term.