1) Using the appropriate formula, find the 17th term of the sequence 7, 4, 1, . . . . . .

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 2E
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??????? ???: ?
(1) Using the appropriate formula, find the 17th term of the sequence 7, 4, 1, . . . . . .
(2) If ? is defined by h(x) = |x| + 2,
(a) What is the range of ? if the domain of ? is the interval [−8,2)?
(b) What is the range of ? if the domain of ? is the set of negative integers?
(3) Consider the sequence x + 3, x + 7, 4x − 2, . . . . . . . . . . . . .
(a) If the sequence is arithmetic, find x and then determine each of the 3 terms and the 4th term.
(b) If the sequence is geometric, find x and then determine each of the 3 terms and the 4th term.
(4) Danny creates up an investment arrangement for friend that will return $5000 the first year,
$6125 the second year, $7250 the third year, and so on, for 30 years.State appropriate formulae
and determine, how much will the investment yield altogether?
(5) If Sandago has a present population of 70,000, and the population is increasing by 3% each year.
(a) What will the population be in 10 years?
(b) How long will it take for the population to double?

Problem Set: D
(1) Using the appropriate formula, find the 17th term of the sequence 7,4, 1,.....
(2) If h is defined by h(x) = |x| + 2,
(a) What is the range of h if the domain of h is the interval [-8,2)?
(b) What is the range of h if the domain of h is the set of negative integers?
(3) Consider the sequence x + 3, x + 7,4x – 2,.....
(a) If the sequence is arithmetic, find x and then determine each of the 3 terms and the 4th term.
(b) If the sequence is geometric, find x and then determine each of the 3 terms and the 4th term.
(4) Danny creates up an investment arrangement for friend that will return $5000 the first year,
$6125 the second year, $7250 the third year, and so on, for 30 years. State appropriate formulae
and determine, how much will the investment yield altogether?
(5) If Sandago has a present population of 70,000, and the population is increasing by 3% each year.
(a) What will the population be in 10 years?
(b) How long will it take for the population to double?
Transcribed Image Text:Problem Set: D (1) Using the appropriate formula, find the 17th term of the sequence 7,4, 1,..... (2) If h is defined by h(x) = |x| + 2, (a) What is the range of h if the domain of h is the interval [-8,2)? (b) What is the range of h if the domain of h is the set of negative integers? (3) Consider the sequence x + 3, x + 7,4x – 2,..... (a) If the sequence is arithmetic, find x and then determine each of the 3 terms and the 4th term. (b) If the sequence is geometric, find x and then determine each of the 3 terms and the 4th term. (4) Danny creates up an investment arrangement for friend that will return $5000 the first year, $6125 the second year, $7250 the third year, and so on, for 30 years. State appropriate formulae and determine, how much will the investment yield altogether? (5) If Sandago has a present population of 70,000, and the population is increasing by 3% each year. (a) What will the population be in 10 years? (b) How long will it take for the population to double?
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