What are the next three terms of the sequence 1, -3, 9, -27,…?
A. -54, 162, -486
B. -81, 243, -729
C. 81, -243, 729
D. 57, -162, 486

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- anonymous

- schrodinger

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

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- tkhunny

Ridiculous problem. Finite sequences have infinitely many "next three terms". ANYTHING you can justify is an acceptable answer.
1, -3, 9, -27, 0, -2, 5 -- That works.
1, -3, 9, -27, 28, -29, 5 -- That works.
1, -3, 9, -27, \(\sqrt{5}\), \(\pi\), e -- That works.
What say you? Give us a clue what YOU might think are three acceptable values and justify your response.

- anonymous

Well, I thought it was 57, -162, 486, but I really wasn't sure, so I came on here for some help..

- tkhunny

It's not a matter of being sure. It's a matter of justifying your answer. How did you get those three values?

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## More answers

- anonymous

If you're having trouble with this, try breaking it down. The sequence itself has 4 values in it already. What did the 1 do to become -3?

- tkhunny

Generally, it's a good idea to look for common differences or common ratios.
Subtract each successive pair. What do you get?
Divide each successive pair. What do you get?

- anonymous

i really don't understand

- Loser66

1*(-3) =?

- anonymous

-3

- Loser66

Now, second term
-3*(-3) =?

- anonymous

9

- Loser66

Now, third term
9*(-3) =?

- anonymous

-27

- Loser66

can you see your answers are the term of the given sequence??

- anonymous

oh, yeah! Thank you so much! I get it now :)

- Loser66

so, next will be???

- anonymous

81

- anonymous

then it'll be -243

- Loser66

Yes!! look at your options, which is correct.

- anonymous

c! Thanks again :)

- Loser66

No need to do next, since there is only 1 option which starts at 81, It is C

- Loser66

YOu got it. hehehe...

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