Arithmetic and Geometric Sequences

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

Find the 25th term of the sequence if a(0) = 5 and d = 0.5

• 18
• 17
• 15
• 14

What is each number in a sequence called?

• common difference

• term

• sequence

• arithmetic

What is the difference between two numbers in an arithmetic sequence called?

• common difference

• term

• sequence

• number

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes
• No

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

Which of the following is a geometric sequence?

• 2, 4, 5, . . .

• 2, 6, 18, . . .

• 2, 4, 6, . . .

• 10, 20, 200, . . .

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

• -6

• 6

• 12

• -4

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1