(g) The nth term is 2llog n]. (h) The nth term is [. 3

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Author:Erwin Kreyszig
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Only need (g)(h).

1. Give the first six terms of the following sequences. You can assume that the sequences
start with an index of 1. Logs are to base 2. Indicate whether the sequence is increasing,
decreasing, non-increasing, or non-decreasing. The sequence may have more than one
of those properties.
(a) The first two terms in the sequece are 1. The rest of the terms are the sum of
the two preceding terms plus 1.
(b) The nth term is n³.
(c) The nth term is 2n – 5
(d) The nth term is 7.
(e) The nth term is 1/n2
(f) The nth term is the largest integer k such that 3% < n.
(g) The nth .
term is 2 log n]
(h) The nth term is [].
3
Transcribed Image Text:1. Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1. Logs are to base 2. Indicate whether the sequence is increasing, decreasing, non-increasing, or non-decreasing. The sequence may have more than one of those properties. (a) The first two terms in the sequece are 1. The rest of the terms are the sum of the two preceding terms plus 1. (b) The nth term is n³. (c) The nth term is 2n – 5 (d) The nth term is 7. (e) The nth term is 1/n2 (f) The nth term is the largest integer k such that 3% < n. (g) The nth . term is 2 log n] (h) The nth term is []. 3
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