Explicit and Recursive Arithmetic

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

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

• a₁ = 3 and d = -5

• a₁ = -8 and d = 3

• a₁ = -5 and d = 3

• a₁ = -5 and d = -3

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

• Explicit; 100, 92, 84, 76

• Recursive; 100, 92, 84, 76

• Explicit; 100, 108, 116, 124

• Recursive; 100, 108, 116, 124

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a_n = -4n - 1

• Explicit; -3, -7, -11, -15

• Recursive; -3, -7, -11, -15

• Explicit; -5, -9, -13, -17

• Recursive; -5, -9, -13, -17

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

• 9

• 324

• 320

• cannot be determined

Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...

• 29

• -261

• -241

• cannot be determined

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

• a_n = 12n - 14

• a_n = 2n - 14

• a_n = -2n + 14

• a_n = -12n + 14

Write the EXPLICIT rule for the arithmetic sequence

• a_n = -4n + 5

• a_n = -9n + 14

• a_n = 9n - 5

• a_n = 4n + 5