What is the common difference of the arithmetic sequence graphed below?
a. -4/3
b. -3/4
c. 10/17
d. 17/10

The common difference of the arithmetic sequence graphed is:

- 3/4 (Option B.)

Solution:

-4.5-(-3.75)=-4.5+3.75=-0.75

-5.25-(-4.5)=-5.25+4.5=-0.75

-6-(-5.25)=-6+5.25=-0.75

-6.75-(-6)=-6.75+6=-0.75

-7.5-(-6.75)=-7.5+6.75=-0.75

-8.25-(-7.5)=-8.25+7.5=-0.75

-9-(-8.25)=-9+8.25=-0.75

Common difference = -0.75 = -75/100

Simplifying: Dividing the numerator and denominator by 25:

Common difference = - (75/25) / (100/25)

Common difference = - 3/4

step-by-step explanation: