Geometric Sequences Quiz

It is a sequence wherein each term after the first term is obtained by multiplying a constant value.

• arithmetic sequence

• Fibonacci sequence

• harmonic sequence

• geometric sequence

Which statements are TRUE about arithmetic and geometric sequences?

• arithmetic sequence: adding a common ratio geometric sequence: multiplying a common ratio

• arithmetic sequence: multiplying a common difference geometric sequence: adding a common difference

• arithmetic sequence: adding a common difference geometric sequence: multiplying a common ratio

• arithmetic sequence: multiplying a common ratio geometric sequence: adding a common difference

The sequence, 1, 0.1, 0.01, 0.001, … is a/an ________________ sequence.

• arithmetic

• geometric

• both A and B

• neither A nor B

Of the formulae below, which describes the general term of a geometric sequence?

• 𝑎_𝑛 =4(5^𝑛−1)

• 𝑎_𝑛 =4+5𝑛

• 𝑎_𝑛 =4(𝑛⁵)

• 𝑎𝑛 =4−5^𝑛−1

Which of the following is/are in geometric sequence?
I. 2, 4, 8, 16, 32, ...
II. 4, 2, 0, -2, …
III. 3, -6, 12, -24, …

• I and II

• I and III

• II and III

• I, II and III

The common ratio can be obtained in a listed geometric sequence by ___________.

• multiplying two consecutive terms

• dividing a term by the term before it

• adding together two consecutive terms

• subtracting a term from the term after it

To get the next terms in the geometric sequence, 1, 2, 4, 8, …, we ______________.

• add a constant ratio 2

• multiply a common ratio 2

• add a common difference 2

• multiply a constant difference 2

What is the common ratio of the sequence 3, 12, 48, …?

• 1/4

• 1/ 3

• 3

• 4

In the sequence 3, 12, 48, …, what is the next term after 48?

• 60

• 96

• 144

• 192

What is the common ratio of the sequence given the rule 𝑎_𝑛=0.3(19)^𝑛−1?

• 0.3

• 1

• 3

• 19