Arithmetic Sequence Warmup

• 17

• 43

• 37

• 31

Answer explanation

The sequence increases by 6 each time: 13 + 6 = 19, 19 + 6 = 25. Continuing this pattern, 25 + 6 = 31. Therefore, the next number in the sequence is 31.

Tags

CCSS.HSF.BF.A.2

Mathematical Equivalence

OFF

Tags

CCSS.HSF.BF.A.2

Is the sequence arithmetic: -3, 3, -3, 3, ...

• Yes

• No

Answer explanation

The sequence alternates between -3 and 3, which means the difference between consecutive terms is not constant. Therefore, it is not an arithmetic sequence. The correct answer is No.

Tags

CCSS.HSF.BF.A.2

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

• Yes

• No

Answer explanation

The sequence is arithmetic because the difference between consecutive terms is constant: 37 - 31 = 6, 31 - 25 = 6, and 25 - 19 = 6. Therefore, the answer is Yes.

Tags

CCSS.HSF.BF.A.2

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

• Yes

• No

Answer explanation

The sequence is not arithmetic because the difference between consecutive terms is not constant. Each term is formed by appending a '5' to the previous term, leading to increasing gaps, thus the answer is No.

Tags

CCSS.HSF.BF.A.2

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

• d = -5

• d = 5

• d = -6

• d = 6

Answer explanation

To find the common difference, subtract the first term from the second: -29 - (-34) = 5. This is consistent for the other pairs: -24 - (-29) = 5 and -19 - (-24) = 5. Thus, the common difference d = 5.

Tags

CCSS.HSF.BF.A.2