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 =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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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
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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