Answer: a. 17
b. an=-2.5n+24.5
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.