Arithmetic Sequences Lesson

Is the following sequence arithmetic?
21, 13, 5, -3, ...

• YES
• NO

Is the following sequence arithmetic?
1, 4, 9, 16, ...

• YES
• NO

Determine the common difference for the arithmetic sequence
-5, 12, 29, 46, ...

• 7
• 17
• -7
• -17

Determine the common difference for the arithmetic sequence
9, 16, 23, 30, ...

• 7
• 17
• -7
• -17

Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...

• 8, 13, 18
• -8, -13, -18
• -7, -11, -15
• 7, 11, 15

Find the next three terms for the arithmetic sequence
19, 31, 43, 55, ...

• 66, 77, 88
• 65, 74, 83
• 67, 79, 91
• 63, 71, 79

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

• a₁=82; a_n = a_n-1-6
• a₁=64; a_n = a_n-1-6
• a₁=82; a_n = a_n-1+6
• a₁=64; a_n = a_n-1+6

Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...

• a₁=-49; a_n = a_n-1 + 10
• a₁=-7; a_n = a_n-1 + 14
• a₁=-49; a_n = a_n-1 + 14
• a₁= -49; a_n = a_n-1 -14

Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...

• a_n = 10n + 17
• a_n = 7n - 17
• a_n = -7n + 17
• a_n = 7n + 3

Write the explicit rule for the arithmetic sequence
9, 13, 17, 21, ...

• a_n = -4n + 5
• a_n = -9n + 14
• a_n = 9n - 5
• a_n = 4n + 5