What is the common difference of the arithmetic sequence graphed below?
A. -4/3
B. -3/4
C. 10/17
D. 17/10
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Answer: 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