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please help i do not understand

Please Help I Do Not Understand class=

Sagot :

Answer: a. 17

b. an=-2.5n+24.5

Step-by-step explanation:

Term number: 3, 4, 5

Terms: 17, 14.5, 12

Term 3 is 17, term 4 is 14.5, and term 5 is 12.

a. The corresponding value to term 3 is 17.

b. Slope formula: m=(y2-y1)/(x2-x1) where x=term number and y=term.

m=(17-14.5)/(3-4)

m=2.5/(-1)

m=-2.5

y=mx+b   ==> Linear equation with slope

12=-2.5(5)+b     ==> substitute a term number and it's corresponding term

12=-12.5+b

b=12+12.5

b=24.5

y=-2.5x+24.5

an=-2.5n+24.5     ==> convert linear equation back to an form.