Chapter 0.4, Problem 2E

To determine

To calculate:Have to find the 20^th term.

Answer to Problem 2E

The 20^th term is 205.

Explanation of Solution

Given information:

Time (Hours)	Bracelets Made
1	15
2	25
3	35

Since, 15,25,35...........n, it is a asthmatic progressive series, because the common difference are same.

Now, first term (a) $=15$ common difference (d )

  $=\text{ Doll Paid for 2 Lawns}-\text{Doll Paid for 1 Lawns}=25-15=10$

The n^th term of the Asthmatic progressive is $a_n=a+\left(n-1\right)d$

Have to find the 20^th term = $n_{20}=a+\left(20-1\right)d$

Calculation:

  $\begin{array}{l}\Rightarrow n_{20}=15+19\times 10\\ \Rightarrow n_{20}=205\end{array}$