Q. 24

Find the first five terms of each arithmetic sequence described.

$a_{1} = 41, d = 5$

Verified

Answer

The first five terms of the arithmetic sequence described are 41, 46, 51, 56, 61.

1Step 1. Given Information.

Given arithmetic sequence is described by $a_{1} = 41, d = 5$

2Step 2. Calculation .

In an arithmetic sequence a term can be obtained by adding the common difference to the previous term.

Here the first term is $a_{1} = 41$

And, the common difference is $d = 5$ .

The second term in the arithmetic sequence is:

$\begin{matrix} a_{2} = a_{1} + d \\ a_{2} = 41 + 5 \\ a_{2} = 46 \end{matrix}$

The third term in the arithmetic sequence is:

$\begin{matrix} a_{3} = a_{2} + d \\ a_{3} = 46 + 5 \\ a_{3} = 51 \end{matrix}$

The fourth term in the arithmetic sequence is:

$\begin{array}{l} a_{4} = a_{3} + d \\ a_{4} = 51 + 5 \\ a_{4} = 56 \end{array}$

The fifth term in the arithmetic sequence is:

$\begin{array}{l} a_{5} = a_{4} + d \\ a_{5} = 56 + 5 \\ a_{5} = 61 \end{array}$

3Step 3. Conclusion .

Hence, the first five terms of the arithmetic sequence described are 41, 46, 51, 56, 61.