QI. Answer with (True / False), then correct the false statements ( (a) A sequence is a list of series in a certain order. (b)A series is the sum of a list of numbers. (c) The difference between a sequence and a series is that a series involves a summation. (d) E a,= 10 means that s, 10 as n* (e) The series E is a geometric series. () If the limit of a sequence approaches , then it is equal to 1. (g)If the limit of a sequence is zero, then the sequence must converge. (h) lf a series converges, then its sequence of partial sums must also converge. (i) The geometric series E-1 is diverge.
QI. Answer with (True / False), then correct the false statements ( (a) A sequence is a list of series in a certain order. (b)A series is the sum of a list of numbers. (c) The difference between a sequence and a series is that a series involves a summation. (d) E a,= 10 means that s, 10 as n* (e) The series E is a geometric series. () If the limit of a sequence approaches , then it is equal to 1. (g)If the limit of a sequence is zero, then the sequence must converge. (h) lf a series converges, then its sequence of partial sums must also converge. (i) The geometric series E-1 is diverge.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:QI. Answer with (True / False), then correct the false statements (
(a) A sequence is a list of series in a certain order.
(b)A series is the sum of a list of numbers.
(c) The difference between a sequence and a series is that a series involves a summation.
(d)E a,= 10 means that s,10 as n»
(e) The series E1;
() If the limit of a sequence approaches, then it is equal to 1.
(g)If the limit of a sequence is zero, then the sequence must converge.
(h)If a series converges, then its sequence of partial sums must also converge.
;is a geometric series.
(i) The geometric series E1
- is diverge.
3"
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