Arithmetic Sequence Rule

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

• d = 100

• d = 101

• d = 200

• d = 201

What is a₁ in the following sequence?

• -6

• -14

• -22

• -30

Which sequence is NOT an arithmetic sequence?

• 12, 18, 24, 30,...

• 10, 3, -4, -11,...

• 2, 4, 8, 16,...

• 16, 20, 24, 28,...

Is the sequence arithmetic?

17, 9, 1, -7, ...

• Yes

• No

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

Define arithmetic sequences.

• A sequence whose terms change by adding the same number each time.

• A sequence whose terms change by multiplying the same number each time.

• A sequence whose terms change by dividing the same number each time.

• A list of numbers that often (but not always) form a pattern.

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

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

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

• 81

• -34

• -146

• -225

Is the sequence arithmetic?

78, 785, 7855, 78555, ...

• Yes

• No