List the first 10 terms of each of these sequences
Not what you're looking for?
Please see the attached file for the fully formatted problems.
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
Purchase this Solution
Solution Summary
It lists the first 10 terms of each of these sequences. The solution is detialed and well presented.
Solution Preview
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 ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.