Lesson 6-C Check for Understanding(Geometric Sequences)

• common difference

• wanted term

• common ratio

• first term

• common difference

• wanted term

• common ratio

• first term

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

• arithmetic
• geometric
• neither

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

• arithmetic
• geometric
• neither

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

• r = -8
• r = -1/4
• r = -4
• r = 4

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Which recursive formula best describes the geometric sequence 2, -6, 18, - 54... 

Write the explicit formula for the following geometric sequence:

125, 25, 5, ....

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

What is the 14th term of the geometric sequence?

Use the explicit formula.

• 14,348,907

• 4,782,969

• 1,594,323

• 45

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3? Use the explicit formula.

• 384

• 768

• 1,536

• 27