Chapter 9.3, Problem 37E

Solution

To identify: The first four terms and the last two terms the bungy bungy tree in the Amazon rain forest grows an average 2.3 cm per week. Write a sequence that represents the weekly height of a bungy-bungy over the course of 1 year if it is 7 m tall.

today.

First four terms and the last two terms is $700,702.3,704.6,706.9,\mathrm{....},815,817.3$

Given information:

The given term is. $a_1=7\text{meters}\text{and}d=2.3\text{cm}$

Explanation:

Consider the given information.

Meter change in to centimeter.

Meter multiply by $100$ then it converts into centimeter $7\times 100=700\text{cm}$

This sequence represents that the height every week grows at $2.3\text{cm}$ per week from its starting height of $700\text{cm}$

Put $a_1=700\text{and}d=2.3$ into $a_n=a_1+\left(n-1\right)d$ .

  $\begin{array}{c}{h}_w=700+\left(n-1\right)2.3\\ h_1=700+\left(1-1\right)2.3\\ =700\\ h_2=700+\left(2-1\right)2.3\\ =702.3\\ h_3=700+\left(3-1\right)2.3\\ =704.6\\ h_4=700+\left(4-1\right)2.3\\ =706.9\\ h_{51}=700+\left(51-1\right)2.3\\ =815\\ h_{52}=700+\left(52-1\right)2.3\\ =817.3\end{array}$