Does the infinite geometric series diverge or converge? Explain.

2 + 6 + 18 + 54 + …
A. It diverges; it does not have a sum.
B. It converges; it does not have a sum.
C. It diverges; it has a sum.
D. It converges; it has a sum.

A. It diverges; it does not have a sum

Step-by-step explanation:

a geometric series converges if and only if

the common ratio, r, is such that |r| < 1, and

diverges if |r|>=1.

67

Step-by-step explanation:

we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle

opposite side = 665 - 5 = 660

adjacent side = 280

tan = opposite / adjacent

(660/280) = 67