The Ratio Test Use the Ratio Test to determine whether the following series converge.
12.
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- Write the next three terms of the series. Then find the seventh partial sum of the series. 8+21+34+47+....arrow_forward05* Let p, q> 0. Find the relation of p and q so that the following series is convergent. p>1 and p=1,q>1 p1 p1 and p=1, q<1 8 n=1 1 n²(Inn)arrow_forwardn3 converges or diverges and identify the test you used. 4. Determine whether the series S : nª + 3 n=1arrow_forward
- ✓ Q N For the series -e, determine which convergence test (if any) is the best to use. Select the correct answer below: @ O The alternating series test. The ratio test. The root test. O The limit comparison test. O None of the above. 2 W ∞0 Content attribution S X n=1 H command # 3 80 E D C $ 4 R F % 5 V T G ^ X6 MacBook Pro Y & 7 H U N * 00 8 J - M - 9 K O ) 0 < I H FEEDBACK 4 P A command را 0arrow_forwardchoices: a. true b. false c. others (specify) 1. Stationary series are series with roughly horizontal with constant variance. 2.A non-stationary series the ACF drops to zero quickly. 3. The PACF of the stationary series is decaying exponentially,arrow_forwardTests for Convergence 1. Consider the series Inn n=1 a. Use Comparison test to show that the series converges when p > 2 and diverges when p< 1.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage