Question

Assuming the pattern continues, what is S12 for the series

−6 − 14 − 22 − 30 − …?

A. -608
B. -600
C. -564
D. -94

Answer 1

-600 is the sum of the arithmetic SERIES till
`S_(12)`

Explanation:

Since this is a SERIES you would use the finite arithmetic SERIES formula

which is
`S_(n) = (n)/(2) (2a_(1) +d(n-1))`

`S_(12) = (12)/(2) (2(-6) + -8(12-1))`

`S_(12) = 6(-12 + -8(11))`

`S_(12) = 6(-12 + -88)`

`S_(12) = 6(-100)`

`S_(12) = 600`

Therefore, the sum of the SERIES would be -600. Hope this helps!