Question

Is the following sequence arithmetic? If so, identify the common difference.

–16, –22, –29, –37, . . .

Answer 1

[AI-generated answer — Bot GPT 3.5]

Yes, the given sequence is arithmetic.

To identify the common difference, we subtract each term from its previous term:

–22 - (-16) = -6
–29 - (-22) = -7
–37 - (-29) = -8

The common difference between each term in the sequence is -9.

Answer 2

are you sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake in my previous response. Let's re-evaluate the sequence.

To determine if the given sequence is arithmetic, we need to check if there is a common difference between consecutive terms.

The sequence is: -16, -22, -29, -37, ...

To find the common difference, we subtract each term from its previous term:

-22 - (-16) = -22 + 16 = -6
-29 - (-22) = -29 + 22 = -7
-37 - (-29) = -37 + 29 = -8

As the differences are not constant, the given sequence is not arithmetic. There is no common difference.