Arithmetic Sequences and Explicit Formula

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)

• a_n = -3 + 30(n -1)

• a_n = -30 - 3(n -1)

• a_n = -30 + 3(n -1)

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Find the explicit formula:
-23, -16, -9, -2, ...

• a_n = -23 + 7(n -1)

• a_n = -23 - 7(n -1)

• a_n = 7 - 23(n -1)

• a_n = 7 + 23(n -1)

For the sequence, write an explicit formula. a₁ = 24, a₂ = 18, a₃ = 12, a₄  = 6, a₅ = 0, …

• a_n = 24 - 6(n - 1)

• a_n = -6 + 24(n - 1)

• g_n = 24 · (-2)^n-1

• g_n = -2 · 24^n-1

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

• 7

• 17

• -7

• -17

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

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

• 29

• -261

• -241

• cannot be determined