Arithmetic Sequences Recursive Explicit

Given the recursive formula, find the explicit form
a_n = a_n-1 - 5
a₁ = 22

• a_n = 22 + (n-1)(-5)

• a_n = 22 + (n-1)(5)

• a_n = -5 + (n-1)(22)

• a_n = -16 + (n-1)(-5)

Write a recursive rule for the sequence a_n = 17 + (n-1)(-16)

• a₁ = 17
  a_n = a_n-1 + 16

• a₁ = 17
  a_n = a_n-1 - 17

• a₁ = 17
  a_n = a_n-1 - 15

• a₁ = 17
  a_n = a_n-1 - 16

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

• 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

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 12, 10, 8, 6, ...

• a_n = 12n - 14

• a_n = 2n - 14

• a_n = -2n + 14

• a_n = -12n + 14

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