Which of the following statement is TRUE? (i) If Σα o an = and bn = then Στο bn n=0 2 an 3 (ii) If an is convergent series with positive terms, then sec(an) converges +∞ in=0 in=0 (iii) If an > 0 and Σ₁ an diverges, then the series ₁ (an)² also diverges. n=1 n=1 (i) and (ii) only All of the above are true None of the above are true (i) and (iii) only O (iii) only =
Which of the following statement is TRUE? (i) If Σα o an = and bn = then Στο bn n=0 2 an 3 (ii) If an is convergent series with positive terms, then sec(an) converges +∞ in=0 in=0 (iii) If an > 0 and Σ₁ an diverges, then the series ₁ (an)² also diverges. n=1 n=1 (i) and (ii) only All of the above are true None of the above are true (i) and (iii) only O (iii) only =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Transcribed Image Text:Which of the following statement is TRUE?
1
+∞
(i) If
So an = = and bn
-
, then bn = ²
Στo
n=0
an
+∞
(ii) If an is convergent series with positive terms, then
sec(an) converges
n=0
in=0
(iii) If an > 0 and Σ1 an diverges, then the series 1 (an)² also diverges.
(i) and (ii) only
All of the above are true
None of the above are true
(i) and (iii) only
(iii) only
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