1) show that a GP has a limiting sum if 0<1-r < 2 2) by calculating the common ratio show that there is no GP with 1st term 8 and limiting sum 2. 3) a GP has positive 1st term a and has a limiting sum Sinfinite , show that Sinfinite > (1/2 )a.
1) show that a GP has a limiting sum if 0<1-r < 2 2) by calculating the common ratio show that there is no GP with 1st term 8 and limiting sum 2. 3) a GP has positive 1st term a and has a limiting sum Sinfinite , show that Sinfinite > (1/2 )a.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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1) show that a GP has a limiting sum if 0<1-r < 2
2) by calculating the common ratio show that there is no GP with 1st term 8 and limiting sum 2.
3) a GP has positive 1st term a and has a limiting sum Sinfinite , show that Sinfinite > (1/2 )a.
4) fjind the reange of values of the limiting sum of a GP with i) a = 6 , ii) a = -8, iii) a>0 iv) a<0
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