Find the Term Arithmetic Sequence

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

• d = 100

• d = 101

• d = 200

• d = 201

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

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.

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

Write the recursive rule for the arithmetic sequence

• 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

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

• 81

• -34

• -146

• -225

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28

• -21, -25, -29

• -23, -28, -33

• -24, -29, -32

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81

• 79, 88, 97

• 70, 79, 88

• 61, 70, 79