Chapter 0.4, Problem 1E

To determine

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

Answer to Problem 1E

The 20^th term is 500.

Explanation of Solution

Given information:

Time (Hours)	Bracelets Made
1	25
2	50
3	75

Since, 25,50,75...........n, it asthmatic progressive series, because the common difference are same.

Now, first term (a) $=25$ common difference (d )

  $=\text{ Bracelets in 2 hour}-\text{Bracelets in 1 hours}=50-25=25$

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:

  $\begin{array}{l}\Rightarrow n_{20}=25+19\times 25\\ \Rightarrow n_{20}=500\end{array}$