Q7.

Find the first five terms of each arithmetic sequence described.

$a_{1} = 14, d = - 2$

Verified

Answer

The first five terms of the arithmetic sequence described are 14, 12, 10, 8, 6.

1Step 1. Given Information.

Given arithmetic sequence is described by $a_{1} = 14, d = - 2$

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 $a_{1} = 14$

And, the common difference is $d = - 2$ .

The second term in the arithmetic sequence is:

$\begin{matrix} a_{2} = a_{1} + d \\ a_{2} = 14 - 2 \\ a_{2} = 12 \end{matrix}$

The third term in the arithmetic sequence is:

$\begin{matrix} a_{3} = a_{2} + d \\ a_{3} = 12 - 2 \\ a_{3} = 10 \end{matrix}$

The fourth term in the arithmetic sequence is:

$\begin{array}{l} a_{4} = a_{3} + d \\ a_{4} = 10 - 2 \\ a_{4} = 8 \end{array}$

The fifth term in the arithmetic sequence is:

$\begin{array}{l} a_{5} = a_{4} + d \\ a_{5} = 8 - 2 \\ a_{5} = 6 \end{array}$

3Step 3. Conclusion .

Hence, the first five terms of the arithmetic sequence described are 14, 12, 10, 8, 6.