Question

Find the next four terms in the arithmetic sequence.

Answer 1

To find the arithmetic sequence, we can first find it's common difference by deducting the first term by the second term:

-7-(-15)

=-7+15

=8

Therefore the common difference is 8, and to find the remaining terms we can add 8 for the respective terms.

T(4) = 1+8 =9

Therefore the answer is c)9,17,25,33.

Hope it helps!

Answer 2

Answer: c) 9,17,25,33

Step-by-step explanation:

Use the equation $a_n=a_1+d(n-1)$

Where "n" is the nth term,  $a_1$ is the first term, "d" is the common difference and "n" is a integer greater than zero.

Find the common diference "d":

$d=(-7)-(-15)\\d=8$

Then we know that:

$a_1=-15\\d=8$

Since we need to find the next four terms and we know three terms then:

 For $n=4$:

$a_4=-15+8(4-1))=9$

For $n=5$:

$a_5=-15+8(5-1))=17$

For $n=6$:

$a_6=-15+8(6-1))=25$

For $n=7$:

$a_7=-15+8(7-1))=33$