Which of the following is true about the sequence graphed below? (and Why) Options:

• The sequence is arithmetic because the terms have a common difference.
• The sequence is arithmetic because the terms do not have a common difference.
• The sequence is not arithmetic because the terms have a common difference.
• The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew