Find the next four terms in the arithmetic sequence.
-15, -7, 1, ...
a)7,13,19,21
b) 10,19,28,37
c)9,17,25,33
d)7,15,25,37

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bunnymarshmarloykw47 bunnymarshmarloykw47 · Answer 1 · 2019-06-22T02:37:38+02:00

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!

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luisejr77 luisejr77 · Answer 2 · 2019-06-22T02:52:52+02:00

Answer: c) 9,17,25,33

Step-by-step explanation:

Use the equation [tex]a_n=a_1+d(n-1)[/tex]

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

Find the common diference "d":

[tex]d=(-7)-(-15)\\d=8[/tex]

Then we know that:

[tex]a_1=-15\\d=8\\[/tex]

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

For [tex]n=4[/tex]:

[tex]a_4=-15+8(4-1))=9[/tex]

For [tex]n=5[/tex]:

[tex]a_5=-15+8(5-1))=17[/tex]

For [tex]n=6[/tex]:

[tex]a_6=-15+8(6-1))=25[/tex]

For [tex]n=7[/tex]:

[tex]a_7=-15+8(7-1))=33[/tex]