Question

33,29,25,21, determine if the sequence is arithmetic

Answer 1

Yes, in all cases the new term is 4 less than the previous term, and so this sequence is arithmetic.

Explanation:

If arithmetic, this sequence must have one and only one difference between terms.

33 - 4 = 29

29 - 4 = 25

25 - 4 = 21

Yes, in all cases the new term is 4 less than the previous term, and so this sequence is arithmetic.

Answer 2

it is

Explanation:

First differences are ...

• 29 -33 = -4
• 25 -29 = -4
• 21 -25 = -4

First differences are all the same, so we say the terms have a "common" difference. That is characteristic of an arithmetic sequence.

Yes, this sequence is arithmetic.