10.4 Recursive Arithmetic Formula

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

Identify a₁ and d for the sequence -5, -2, 1, 4, ...

a₁ = ​ (a)   , d = ​ (b)  

• -5
• 3
• -3
• -8
• 7

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 = 88

  a_n = a_{(n - 1)} – 6

• a₁ = 82

  a_n = a_{(n - 1)} + 6

• a₁ = 88

  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)} – 14

• a₁ = -63

  a_n = a_{(n - 1)} + 14

• a₁ = -49

  a_n = a_{(n - 1)} + 14

• a₁ = -63

  a_n = a_{(n - 1)} – 14

Write the simplified 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 simplified explicit rule for the arithmetic sequence 12, 10, 8, 6, ...

• a_n = 12n - 14

• a_n = 2n - 14

• a_n = -2n + 14

• a_n = -12n + 14

Find the given term for the sequence.  Find a₆₄  for a_n = 5n + 4

a₆₄ = _