Chapter 0.4, Problem 3E

To determine

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

Answer to Problem 3E

The 20^th term is 23.

Explanation of Solution

Given information: 3, 4,5,6,7.......

Since, : 3,4,5,6,7.......n, it is a asthmatic progressive series, because the common difference are same.

Now, first term (a) $=4$ common difference (d ) $=5-4=1$

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:

  $\begin{array}{l}\Rightarrow n_{20}=4+19\times 1\\ \Rightarrow n_{20}=4+19\\ \Rightarrow n_{20}=23\end{array}$