Luiza's savings account has $50 at the start of the 1st year. Each year since then, her account accumulated interest amounting to 15% of the balance the previous year. Let g (n) be Luiza's account balance at the start of the nth year of saving. (a) Write an explicit formula g (n) for the sequence. (b) How much did Luiza have her in account at the start of the 21st year. Round to the nearest cent.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section: Chapter Questions
Problem 328PT: Find the first term and common difference of an arithmetic sequence whose ninth term is -1 and the...
icon
Related questions
Topic Video
Question
100%
Luiza's savings account has $50 at the start of the 1st year. Each year since then, her account accumulated interest
amounting to 15% of the balance the previous year.
Let g (n) be Luiza's account balance at the start of the nth year of saving.
(a) Write an explicit formula g (n) for the sequence.
(b) How much did Luiza have her in account at the start of the 21st year.
Round to the nearest cent.
Transcribed Image Text:Luiza's savings account has $50 at the start of the 1st year. Each year since then, her account accumulated interest amounting to 15% of the balance the previous year. Let g (n) be Luiza's account balance at the start of the nth year of saving. (a) Write an explicit formula g (n) for the sequence. (b) How much did Luiza have her in account at the start of the 21st year. Round to the nearest cent.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Sequence
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning