CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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- How many terms must be added before the series 1357.... has a sum less than -75?arrow_forwardProve the formula for the sum of the first n terms of an arithmetic series: a+a+d+a+2d+a+n-1d=na+an2 where an=a+n-1d.arrow_forwardWrite 0.65 as an infinite geometric series using summation notation. Then use the formula for finding the sum of an infinite geometric series to convert 0.65 to a fraction.arrow_forward
- How is finding the sum of an infinite geometric series different from finding the nth partial sum?arrow_forwardCalculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a conjecture about the relationship between these two sequences.arrow_forwardA ball has a bounce-back ratio 35 . of the height of the previous bounce. Write a series representing the total distance traveled by the ball, assuming it was initially dropped from a height of 5 feet. What is the total distance? (Hint: the total distance the ball travels on each bounce is the sum of the heights of the rise and the fall.)arrow_forward
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