Sequences

Select the explicit rule that represents the sequence.

• 6 + 5(n - 1)
• 4 + 6(n - 1)
• 6 - 4(n - 1)

Tags

CCSS.HSF.BF.A.2

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

• 182
• 176
• 170
• -118

Tags

CCSS.HSF.BF.A.2

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

• 145
• 144
• 142
• 138

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8
• a₁ =6, a_n = a_n - 1 - 2
• a₁ = 6, a_n = a_n-1 + 2
• a₁ = 6, a_n = a_n-1 - 2

Tags

CCSS.HSF.BF.A.2

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

• a₁=82; a_n = a_n-1-6
• a₁=64; a_n = a_n-1-6
• a₁=82; a_n = a_n-1+6
• a₁=64; a_n = a_n-1+6

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Which sequence is represented by the equation 2(7)^n-1 ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

Tags

CCSS.HSF.BF.A.2