Chapter 11, Problem 1RE

To determine

To calculate: The first four terms of the sequence with the nth term $a_n=7n-4.$

Answer to Problem 1RE

Solution:

The first four terms of the sequence with nth term $a_n=7n-4.$ are $\underset{\_}{\text{3,10,17and}24}$.

Explanation of Solution

Given:

The nth term $a_n=7n-4.$

Formula used:

In order for computing the $1st$ four terms of the series having the general term as $a_n=7n-4.$, there is a need of replacing the n in the formula with $1,2,3\text{and}4$.

Calculation:

In order to find the first four terms of the sequence whose general term is $a_n=7n-4.$, there is a need of replacing the n in the formula with $1,2,3\text{and}4$.

1^st term $a_1=7\left(1\right)-4=7-4=3$

2^nd term $a_2=7\left(2\right)-4=14-4=10$

3^rd term $a_3=7\left(3\right)-4=21-4=17$

4^th term $a_4=7\left(4\right)-4=28-4=24$

The first four terms of the sequence with nth term $a_n=7n-4.$ are $\text{3,10,17and}24$. The sequence can be written as $3,10,17,\mathrm{24.......},\left(7n-4\right).,\mathrm{.....}$

Hence, the first four terms of the sequence with nth term $a_n=7n-4.$ are $\underset{\_}{\text{3,10,17and}24}$.