Geometric Sequence Drill Activity

It is a sequence where each term after the first is obtained by multiplying the preceding term by a non-zero constant called the common ratio.

• Arithmetic sequence

• Geometric sequence

• Common difference

• Pattern

Which of the following is a geometric sequence?

• 2, 4, 5, . . .

• 2, 4, 6, . .

• 
  2, 6, 18, . . .

• 10, 20, 200, . . .

Find the common ratio: 16, 8, 4, 2, . . .

• 
  r = 2

• r = 8

Find the common ratio: 3, 9, 27, 81, . . .

• r = 6

• r = 3

Find the next term of the geometric sequence: 4, 12, 36, . . .

• 48

• 68

• 108

• 148

Find the sum of the following:

2 + 12 + 72 + 432

• 201

• 318

• 518

• 611

What is the 5th term of the sequence 7, 14, 28, ...?

• 48

• 56

• 72

• 112

Which formula is used to find the explicit equation for geometric sequences?

• 
  a_n = a_n-1 + d

• a_n = a₁ + d(n-1)

• a_n = a_n-1 * r

• a_n = a₁ * r^n-1

What does "r" stand for?

• Common Difference

• Common Addition

• Common Value

• Common Ratio

What kind of sequence?

400, 200, 100, 50, 25, ...

• Arithmetic

• Geometric