Algebra Sequences

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes

• No

Find the common difference: 1, 201, 401, 601, ...

• d = 100

• d = 101

• d = 200

• d = 201

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

• d = -5

• d = 5

• d = -6

• d = 6

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

• 145

• 144

• 142

• 138

• F

• G

• H

• J

An equation to represent the n^th term of the sequence is known as 

• explicit formula

• arithmetic sequence

• geometric sequence

• recursive formula

A rule that defines the nth term a_n, or a general term, of a sequence as a function of n.

• Explicit Rule

• Arithmetic Sequence

• Recursive Rule

Select the explicit rule that represents the sequence.

• 6 + 5(n - 1)

• 4 + 6(n - 1)

• 6 - 4(n - 1)

Select the explicit rule that represents the sequence.

• 14(-3)(n - 1)

• 3 + (n - 1)(14)

• 14 + (n - 1)(-3)

• -3 + (n - 1)(14)

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5

• a₁ = -8 and d = 3

• a₁ = -5 and d = 3

• a₁ = -5 and d = -3