Answered: Starting in 1983 the number of visitors…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.4: Geometric Sequences And Series

Problem 6SC

See similar textbooks

Related questions

Question

Starting in 1983 the number of visitors (in thousands) to a park has decreased by 9.6 thousands people every four years. In addition, records show that in 1987 there were 83.8 thousand visitors to the park. If the current trend continues when will the number of visitors be 55.9 thousand people?

Expert Solution

Step 1

Given data:

The number of visitors to a park decreased by 9.6 thousand people every 4 years starting from 1983
In 1987, number of visitors to the park=83.8 thousand

Thus, number of visitors in the year 1983 $= (83.8 + 9.6)$ thousand

$= 93.4$ thousand

This is a problem of arithmetic progressions with first term, $a = 93.4$

Common difference, $d = - 9.6$

Last term, $a_{n} = 55.9$

The formula for n is given by:

$a_{n} = a + (n - 1) d$

Step by step

Solved in 2 steps

Knowledge Booster

$Time Series Analyses, Forecasting Methods, and Indices$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions