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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


Please select the best answer from the choices provided

a) A
b) B
c) C
d) D

Respuesta :

frika

Answer:

Correct choice is C

Step-by-step explanation:

The first term of arithmetic cequence is -15, the second term is -7, the third term is 1 and i.e.

The difference between two consecutive terms of the arithmetic sequence is the difference of the arithmetic sequence. Thus, the difference of the arithmetic sequence is

[tex]-7-(-15)=-7+15=8\text{ that is exactly } 1-(-7)=1+7=8.[/tex]

Hence,

  • fourth term is [tex]1+8=9;[/tex]
  • fifth term is [tex]9+8=17;[/tex]
  • sixth term is [tex]17+8=25;[/tex]
  • seventh term is [tex]25+8=33.[/tex]

Next four terms are 9, 17, 25, 33.


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