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Assuming the pattern continues, what is S12 for the series−8 − 15 − 22 − 29 − …? −565 −85 −510 −558

Assuming The Pattern Continues What Is S12 For The Series8 15 22 29 565 85 510 558 class=

Sagot :

Notice that:

[tex]\begin{gathered} -8=-1-7\times1, \\ -15=-1-7\times2, \\ -22=-1-7\times3, \\ -29=-1-7\times4. \end{gathered}[/tex]

Therefore, the nth term of the given sequence is given by the following rule:

[tex]S_n=-1-7\times n\text{.}[/tex]

Then:

[tex]S_{12}=-1-7\times12=-1-84=-85.[/tex]

Answer: Second option.

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