1.

Determine whether the sequence converges or diverges. If it converges, find the limit. {If the sequence diverges, enter DIVERGES.} 3+7'n2 n+3n2 Consider the parametric equations below' x:1+3t, yzzrz (a) Sketch the curve by using the parametric equations to piot points. Indicate with an arrow the direction in which the curve is traced as t increases. (b) Eliminate the parameter to find a Cartesian equation of the curve. Find a formula for the general term an of the sequence, assuming that the pattern of the first fem.I terms continues. (Assume that n begins with 1.) {1_1 1_1 1 } ' 2'4' 8'16"" Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.} _ 3 anco F lima = nzo-J n Determine whether the sequence converges or diverges. If it converges, find the limit. {If the quantity diverges, enter DIVERGES.) _ (1)!" +2n3 an 3 n +5n2+6