Problem 1E: Define sequence and give an example. Problem 2E: Suppose the sequence {an} is defined by the explicit formula an = 1/n, for n = 1, 2, 3, . Write out... Problem 3E: Suppose the sequence {an} is defined by the recurrence relation an + 1 = nan, for n = 1, 2, 3, ,... Problem 4E Problem 5E Problem 6E: Given the series k=1k, evaluate the first four terms of its sequence of partial sums Sn=k=1nk. Problem 7E: The terms of a sequence of partial sums are defined by Sn=k=1nk2, for n = 1, 2, 3,. Evaluate the... Problem 8E: Consider the infinite series k=11k. Evaluate the first four terms of the sequence of partial sums. Problem 9E: Explicit formulas Write the first four terms of the sequence {an}n=1. 9. an = 1/10n Problem 10E: Explicit formulas Write the first four terms of the sequence {an}n=1. 10. an = 3n + 1 Problem 11E: Explicit formulas Write the first four terms of the sequence {an}n=1. 11. an=(1)n2n Problem 12E: Explicit formulas Write the first four terms of the sequence {an}n=1. 12. an = 2 + (1)n Problem 13E: Explicit formulas Write the first four terms of the sequence {an}n=1. 13. an=2n+12n+1 Problem 14E: Explicit formulas Write the first four terms of the sequence {an}n=1. 14. an = n + 1/n Problem 15E: Explicit formulas Write the first four terms of the sequence {an}n=1. 15. an = 1 + sin (n/2) Problem 16E Problem 17E: Recurrence relations Write the first four terms of the sequence {an} defined by the following... Problem 18E: Recurrence relations Write the first four terms of the sequence {an} defined by the following... Problem 19E: Recurrence relations Write the first four terms of the sequence {an} defined by the following... Problem 20E: Recurrence relations Write the first four terms of the sequence {an} defined by the following... Problem 21E: Recurrence relations Write the first four terms of the sequence {an} defined by the following... Problem 22E: Recurrence relations Write the first four terms of the sequence {an} defined by the following... Problem 23E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 24E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 25E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 26E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 27E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 28E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 29E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 30E: Working with sequences Several terms of a sequence {an}n=1 are given. a. Find the next two terms of... Problem 31E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 32E Problem 33E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 34E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 35E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 36E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 37E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 38E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 39E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 40E: Limits of sequences Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence... Problem 41E: Explicit formulas for sequences Consider the formulas for the following sequences. Using a... Problem 42E Problem 43E: Explicit formulas for sequences Consider the formulas for the following sequences. Using a... Problem 44E: Explicit formulas for sequences Consider the formulas for the following sequences. Using a... Problem 45E: Explicit formulas for sequences Consider the formulas for the following sequences. Using a... Problem 46E: Explicit formulas for sequences Consider the formulas for the following sequences. Using a... Problem 47E: Limits from graphs Consider the following sequences. a. Find the first four terms of the sequence.... Problem 48E: Limits from graphs Consider the following sequences. a. Find the first four terms of the sequence.... Problem 49E Problem 50E: Recurrence relations Consider the following recurrence relations. Using a calculator, make a table... Problem 51E Problem 52E: Recurrence relations Consider the following recurrence relations. Using a calculator, make a table... Problem 53E Problem 54E Problem 55E: Heights of bouncing balls A ball is thrown upward to a height of h0 meters. After each bounce, the... Problem 56E: Heights of bouncing balls A ball is thrown upward to a height of h0 meters. After each bounce, the... Problem 57E: Heights of bouncing balls A ball is thrown upward to a height of h0 meters. After each bounce, the... Problem 58E: Heights of bouncing balls A ball is thrown upward to a height of h0 meters. After each bounce, the... Problem 59E: Sequences of partial sums For the following infinite series, find the first four terms of the... Problem 60E: Sequences of partial sums For the following infinite series, find the first four terms of the... Problem 61E: Sequences of partial sums For the following infinite series, find the first four terms of the... Problem 62E: Sequences of partial sums For the following infinite series, find the first four terms of the... Problem 63E: Formulas for sequences of partial sums Consider the following infinite series. a. Find the first... Problem 64E Problem 65E Problem 66E: Formulas for sequences of partial sums Consider the following infinite series. a. Find the first... Problem 67E: Explain why or why not Determine whether the following statements are true and give an explanation... Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E: Practical sequences Consider the following situations that generate a sequence. a. Write out the... Problem 79E: Practical sequences Consider the following situations that generate a sequence.. a. Write out the... Problem 80E: Consumer Price Index The Consumer Price Index (the CPI is a measure of the U.S. cost of living) is... Problem 81E: Drug elimination Jack took a 200-mg dose of a painkiller at midnight. Every hour, 5% of the drug is... Problem 82E: A square root finder A well-known method for approximating c for a positive real number c consists... format_list_bulleted