Chapter 7: Q.19 (page 592)
Explain why we require the terms of the sequenceto be positive when we use the ratio test from Theorem 7.6.
Short Answer
Ans: Wille using the Ratio test, all the terms in the sequence should be positive, otherwise the inequality will not hold true.
Consider holds true, if the terms are negative will not hold true.
Hence, it is necessary the terms of the sequence should all be positive while using the Ratio Test.