The Integral & Comparison Tests: Group 6 - The Nth-Term Divergence Test.

Learn how to apply the Nth-Term Divergence Test to determine whether infinite series converge or diverge. This beginner-friendly lesson explains exponential growth, exponent rules, limits at infinity, and why a term approaching zero does not guarantee convergence. *Problems covered:* *#14:* ∑ 7ⁿ/(1 + 9ⁿ) — Converges by Direct Comparison with a geometric series. *#16:* ∑ 4ⁿ⁺¹/(3ⁿ − 8) — Diverges by the Nth-Term Divergence Test. Includes prerequisite mathematical concepts, step-by-step solutions, exponential simplification, geometric comparison, graphs, and a final recap.