4 3. Let S = E(-1)n+11 and let S4 = E(-1)n+11. Then S4 < S since the next term in the series is positive. n=1 n=1
4 3. Let S = E(-1)n+11 and let S4 = E(-1)n+11. Then S4 < S since the next term in the series is positive. n=1 n=1
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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Transcribed Image Text:True or False
4
3.
Let S = E(-1)n+11 and let S4 = E(-1)"+11. Then S4 < S since the next term in the series is positive.
n
n=1
n=1
13
4.
Let S = E(-1)n+11 and let S13
E(-1)"+11. Then S13 < S since the next term in the series
n=1
n=1
is negative.
7.
If lan| < |bn| and E [bn| converges, then D |an| converges.
n=1
n=1
8.
If an| < |bn| and bn converges, then E an converges.
n=1
n=1
19.
If the power series
anx" converges at x = 4, then it converges absolutely at x = -2.
n=0
20.
If the power series anx" converges at x = 4, then it converges at x = -4.
n=0
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