Practice Explicit & Recursive Sequences

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

• 31 and 37

• 31 and 36

• 30 and 37

• 30 and 36

Tags

CCSS.HSF.BF.A.2

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

Tags

CCSS.HSF.BF.A.2

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

Tags

CCSS.HSF.BF.A.2

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6

Tags

CCSS.HSF.BF.A.2

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

• -6

• -14

• -22

• -30

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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)

Tags

CCSS.HSF.BF.A.2

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)

Tags

CCSS.HSF.BF.A.2