Concept explainers
a.
To Find : The first six terms of the sequence.
a.
Answer to Problem 42E
The first six terms of the sequence are : 0, 0.25, 0.75, 1.5, 2.5, 3.8 .
Explanation of Solution
Given Information :
The nth term of the sequence is given by,
Calculation:
nth term of the sequence is obtained by substituting the value of n in equation (1)
n = 1, gives the first term of the sequence, that is
n = 2, gives the second term of the sequence, that is
n = 3, gives the third term of the sequence, that is
n = 4, gives the fourth term of the sequence, that is
n = 5, gives the fifth term of the sequence, that is
n = 6, gives the sixth term of the sequence, that is
Conclusion:
Thus, the first six terms of the sequence are 0, 0.25, 0.75, 1.5, 2.5, 3.8 .
b.
To Find : The compound interest at the end of 2 years.
b.
Explanation of Solution
Given Information:
$ 100 is deposited with an interest of 3% per annum and it is compounded monthly.
Calculation :
Equation for compound interest is,
Where, C.I is the compound interest, P is the principal amount, r is the rate of interest, t the number of years, n the number of months as it’s compounded monthly.
According to the given informations, P = $100, r = 3% = 0.03, n = 12 and t = 2 .
Conclusion:
Thus,
The compound interest at the end of 2 years is $ 6.2 .
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning