Day34-1432class - Math 1432 Dont forget online quizzes....

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Unformatted text preview: Math 1432 Dont forget online quizzes. THINK: Find the number to replace the question mark. 369542 is to 246359 as 172896 is to 268179 as 417638 is to ? Review: Geometric Series Test. The geometric series diverges if r 1 . If < r 1, then the series converges to the sum =- 1 a S 1 r . The sum of the first n terms of a geometric series is ( 29- =- n 1 a 1 r S 1 r . Ex. ( 29 = n n 1 3 1 2 . Basic Divergence Test If n n a lim , then the series = n n 1 a diverges. Ex. =- + 2 2 n 1 n 1 n n p-Series Test: A series of the form = = + + + + + p p p p p n 1 1 1 1 1 1 n 1 2 3 n ... ... The p-series diverges if < 0 p 1. The p-series converges if p > 1. Ex. = 8 n 1 27 n = 2 n 1 3 1 n Integral Test : If f is positive , continuous , and decreasing for x 1 and ( 29 = n a n f , then = n n 1 a and ( 29 1 x dx f either both converge or both diverge....
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This note was uploaded on 03/06/2011 for the course MATH 1432 taught by Professor Morgan during the Spring '08 term at University of Houston.

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Day34-1432class - Math 1432 Dont forget online quizzes....

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