neah2424
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

1) Find the 4th term if the sequend in which a1 = 2 and an+1 = -4an + 2.

2) Find the third iterate, x3, of the function f(x) = 3x + 5 for an initial value of x0 = 1.

3)The rate of inflation is 3%. The cost of an item in future years can be found by iterating the function c(x) = 1.03x. Find the cost of a $1500 refigerator in three years if the rate of inflation remains consistant.
a. $1539.99
b. $1639.09
c. $1545.00

PLEASE HELP !

Sagot :

Everest2017
A1 = 2
An+1 = - 4 An    +   2
For  the 4th term, put n = 3

It is easier to find A2, then A3 and then A4
A2 = - 4 A1 + 2  = -4 * 2 +2 = -6
A3 = - 4 A2 + 2 = 24 + 2  = 26
A4 = - 4 * 26  + 2  = -102
================================

3) cost after one year = 1.03 * $1500
   cost after two years = 1.03  (1.03 * $1500)
   cost after 3 years = 1.03 *  [ 1.03  * (1.03 * $1500) ]  = 1.03³ * $1500
   = $ 1639.09



Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.