In order to monitor buses in a travel agency, the manager decides to monitor the number of break downs of the buses using the sequence {x_n } defined by x_(n+1) = 1.05 x_n + 4. Given that x_0 = 40. is the number of break downs by the buses from the 1^(st) of january 2000, and that for every n∈N, we denote x_n the number of breakdowns of the buses as from 1^(st) of january of the year (2000 + n) (a) Calculate x_1 , x_2 , x_3 (b) Consider the sequence {y_n } defined by y_n = x_n + 80 for all n ∈ N (i) express y_(n+1) in terms of y_n and deduce the nature of the sequence {y_n }. (ii) Express y_n in terms of n. deduce x_n in terms of n (iv) find the number of break downs that will be registered by 1^(st) january 2021.


Question and Answers Forum

All Questions Topic List
Logarithms Questions
Previous in All Question Next in All Question
Previous in Logarithms Next in Logarithms
Question Number 159122 by physicstutes last updated on 13/Nov/21
$In order to monitor buses in a travel agency, the manager decides to monitor the number of break downs of the buses using the sequence {x_n } defined by x_(n+1) = 1.05 x_n + 4. Given that x_0 = 40. is the number of break downs by the buses from the 1^(st) of january 2000, and that for every n∈N, we denote x_n the number of breakdowns of the buses as from 1^(st) of january of the year (2000 + n) (a) Calculate x_1 , x_2 , x_3 (b) Consider the sequence {y_n } defined by y_n = x_n + 80 for all n ∈ N (i) express y_(n+1) in terms of y_n and deduce the nature of the sequence {y_n }. (ii) Express y_n in terms of n. deduce x_n in terms of n (iv) find the number of break downs that will be registered by 1^(st) january 2021.$
$In order to monitor buses in a travel$ $agency, the manager decides to monitor$ $the number of break downs of the buses$ $using the sequence {x_{n}} defined by$ $x_{n + 1} = 1.05 x_{n} + 4 . Given that x_{0} = 40 .$ $is the number of break downs by the buses$ $from the 1^{st} of january 2000, and that$ $for every n \in N, we denote x_{n} the number$ $of breakdowns of the buses as from 1^{st}$ $of january of the year (2000 + n)$ $(a) Calculate x_{1}, x_{2}, x_{3}$ $(b) Consider the sequence {y_{n}} defined$ $by y_{n} = x_{n} + 80 for all n \in N$ $(i) express y_{n + 1} in terms of y_{n} and$ $deduce the nature of the sequence {y_{n}} .$ $(ii) Express y_{n} in terms of n . deduce x_{n}$ $in terms of n$ $(iv) find the number of break downs$ $that will be registered by 1^{st} january$ $2021 .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum