List the first 10 terms of each of these sequences
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Practice problem 20
List the first 10 terms of each of these sequences.
a) The sequence whose nth term is the larges integer k such that k! <= n;
b) The sequence whose nth term is 3^n - 2^n;
c) The sequence whose nth term is sqrt(n) ;
d) The sequence whose nth term is the sum of the first n positive integers
e) The sequence obtained by starting with 10 and obtaining each term by subtracting 3 from the previous term
f) The sequence whose nth term is the largest integer whose binary expansion has n bits
g) The sequence whose first two terms are 1 and 2 and each succeeding term is the sum of the two previous terms
h) The sequence whose terms are constructed sequentially as follows: start with 1, then add 1, then multiply by 1, then add 2, then multiply by 2 and so on
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Practice problem 20
List the first 10 terms of each of these sequences.
a) The sequence whose nth term is the larges integer k such that
When n = 1, , then k = 0 or 1. so the larger one is k = 1.
When n = 2, , then k = 0, 1, or 2, so the largest one is k = 2.
When n = 3, , then k= 0, 1, or 2, so the largest one is k= 2.
When n= 4, , then k = 0, 1, or 2, so the larges one is k = 2.
When n= 5, , then k = 0, 1, or 2, so the larges one is k = 2.
When n= 6, , then k = 0, 1, 2, or 3, so the larges one is k = 3.
When n= 7, , then k = 0, 1, 2, or 3, so the larges one is k = 3.
When n= 8, , then k = 0, 1, 2, or 3, so the larges one is k = 3.
When n= 9, , then k = 0, 1, 2, or 3, so the larges one is k = 3.
When n= 10, , then k = 0, 1, 2, or 3, so the larges one is k = 3.
Here
Therefore, the first 10 terms of the sequences are: 1, 2, 2, 2, 2, 3, 3, 3, 3, 3.
b) The sequence whose nth term is
The first 10 terms are: 1, 5, 19, 65, 211, 665, 2059, 6305, 19171, 58025
c) The ...
Solution Summary
It lists the first 10 terms of each of these sequences. The solution is detialed and well presented.