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vo cookies. Each day in a row that she does her chores, Sally will vious day. Let C(n) give the number of cookies Sally gets on day s the growth factor?

vo cookies. Each day in a row that she does her chores, Sally will vious day. Let C(n) give the number of cookies Sally gets on day s the growth factor?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Sally makes a deal with her mother. If Sally does all her chores today, she will get half a cookie. If she does her chores on the second day as well, she will get one cookie. If she does her chores on the third day, she will get two cookies. Each day in a row that she does her chores, Sally will double the amount of cookies get as the previous day. Let C(n) give the number of cookies Sally gets on day n. a) What is the growth factor? b) What is the initial value? c) Write a formula for C(n). d) How many cookies does Sally get on day 30?
Transcribed Image Text:Sally makes a deal with her mother. If Sally does all her chores today, she will get half a cookie. If she does her chores on the second day as well, she will get one cookie. If she does her chores on the third day, she will get two cookies. Each day in a row that she does her chores, Sally will double the amount of cookies get as the previous day. Let C(n) give the number of cookies Sally gets on day n. a) What is the growth factor? b) What is the initial value? c) Write a formula for C(n). d) How many cookies does Sally get on day 30?
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