Recognizing Arithmetic Sequences & Finding Common Difference

Recognizing Arithmetic Sequences & Finding Common Difference

Day 1 Morning

Multiple Choice

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

• Yes

• No

Open Ended

Why is the sequence 37, 31, 25, 19, ... arithmetic?

Multiple Choice

Identify the common difference.

97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Multiple Choice

The next two terms of the sequence 4,7,10,13 are

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

Open Ended

For the sequence 4, 7, 10, 13, ... how do we get the next terms 16 and 19?

Multiple Choice

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

• d = 100

• d = 101

• d = 200

• d = 201

Multiple Choice

Find the common difference: -18, -23, -28, -33, ...

• d = -5

• d = 5

• d = -3

• d = 3

Multiple Choice

Is the following sequence arithmetic?
21, 13, 5, -3, ...

• YES
• NO

Multiple Choice

Is the following sequence arithmetic?
1, 4, 9, 16, ...

• YES
• NO

Multiple Choice

The next two terms of the sequence 12,17,22,27 are

• 28 and 33

• 29 and 34

• 32 and 37

• 30 and 35

Multiple Choice

Identify the common difference.
3, 7, 11, 15, ...

• 6
• 5
• 4
• 2

Multiple Select

Check the sequences that are arithmetic:

The important parts of the sequence

For the first sequence f(1) = 2 since the first term is 2 and d = 6 because the pattern is adding 6

For the second sequence f(1) = 50 since the first term is 50 and d = -5 because the pattern is subtracting 5

Open Ended

Write the first five term of the sequence with f(1) = 6 and d = 4

Open Ended

Write the first five terms of the sequence with f(1) = 40 and d = -8