Nth Term and Explicit

An arithmetic sequence is given below.

16, 13, 10, 7, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -3n+19

• a_n = -5n+13

• a_n = 3n+13

• a_n = -5n+20

What is the 67^th term of the following arithmetic sequence.

13, 22, 31, 40, ...

• -445

• 67

• 625

• 607

What is the 76^th term of the following arithmetic sequence? 8, 14, 20, 26,...

• 76

• 452

• 458

• 476

An arithmetic sequence is given below. 2, 9, 16, 23, ... Which is the explicit formula for the n^th term a_n? (Look at the choices carefully! You may have to simplify your equation to get the correct choice!)

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

Select the explicit rule that represents the sequence.

• a(n) = 6 + 5(n - 1)

• a(n) = 4 + 6(n - 1)

• a(n) = 6 - 4(n - 1)

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

(HINT - Find the explicit formula first, then use your formula!)

• -216

• -148

• -146

• -150

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

(HINT - Find the explicit formula first, then use your formula!)

• -515

• -490

• -535

• 460

Select the explicit rule that represents the sequence.

• a(n) = 14(-3)(n - 1)

• a(n) = 3 + (n - 1)(14)

• a(n) = 14 + (n - 1)(-3)

• a(n) = -3 + (n - 1)(14)

What is the 15th term of the sequence a(n) = -3n+50

• 95

• -5

• 5

• -95

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16