SOLUTION: The first 4 terms of the following sequence an= (-2)^n/(n!) are -2,2,-4/3,2/3 True or False

Question 1082979: The first 4 terms of the following sequence an= (-2)^n/(n!) are -2,2,-4/3,2/3
True or False
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!




Let's plug in 1 for n and see if we get -2 for the 1st term.





So the 1st term is -2.  So far so good.

Now, let's plug in 2 for n and see if we get 2 for the 2nd term.






So the 2nd term is 2.  So far so good.

Now, let's plug in 3 for n and see if we get -4/3 for the 3rd term







So the 3rd term is -4/3.  So far so good.

Finally, let's plug in 4 for n and see if we get 2/3 for the 4th term.






Yep!  So that proves that the answer is "TRUE".

Edwin

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