Use the ratio test to determine whether the series ∑_{n=16}^{∞} 7^n / (8n)^2 converges or diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16,
lim_{n→∞} |a_{n+1} / a_n| = lim_{n→∞}
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE.
lim_{n→∞} |a_{n+1} / a_n| =
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose