If E a, and E=1 bn are convergent infinite series whose sums are S and R, respectively, Zn=1 then E* (an + b,) is a convergent series and its sum is S + R. b. E (an – b,) is a convergent series and its difference is S – R. a. n%3D1 + 00 n%3D1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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2. If E an and E b, are convergent infinite series whose sums are S and R, respectively,
then
S+00
Ln=1
n%3D1
a. E(an + bn) is a convergent series and its sum is S + R.
b. E (an – b,) is a convergent series and its difference is S – R.
+0o
n%=D1
Transcribed Image Text:2. If E an and E b, are convergent infinite series whose sums are S and R, respectively, then S+00 Ln=1 n%3D1 a. E(an + bn) is a convergent series and its sum is S + R. b. E (an – b,) is a convergent series and its difference is S – R. +0o n%=D1
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