Which sequences are arithmetic? check all that apply.

1. –5, 5, –5, 5, –5, …
2. 96, 48, 24, 12, 6
3. 18, 5.5, –7, –19.5, –32, …
4. –1, –3, –9, –27, –81, …
5. 16, 32, 48, 64, 80

ANSWER

3. 18, 5.5, –7, –19.5, –32, …

and

5. 16, 32, 48, 64, 80

EXPLANATION

An arithmetic sequence has a constant difference.

1. –5, 5, –5, 5, –5, … is not an arithmetic sequence because 5--5≠ -5-5

2. 96, 48, 24, 12, 6 is not an arithmetic sequence because 48-96≠ 24-48

3. 18, 5.5, –7, –19.5, –32, … is an arithmetic sequence because there is a constant difference of

4. –1, –3, –9, –27, –81, … is not an arithmetic sequence because

5. 16, 32, 48, 64, 80 is also an arithmetic sequence because

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

step-by-step explanation: