Determine first five terms of sequence?

Question

Find the first five terms of the sequence:

I think that is is 2, -2, -6, -10, -14. Am I right?

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Answer 1 · 2017-12-08T13:12:58

Correct first five terms of series are #2,-6,2,-6,2#

As #a_1=2#, using #a_n=-a_(n-1)-4#

#a_2=-a_(2-1)-4=-a_1-4=-2-4=-6#

#a_3=-a_(3-1)-4=-a_2-4=-(-6)-4=6-4=2#

#a_4=-a_(4-1)-4=-a_3-4=-2-4=-6#

#a_5=-a_(5-1)-4=-a_4-4=-(-6)-4=6-4=2#

Hence, correct first five terms of series are #2,-6,2,-6,2#