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Darina [25.2K]
3 years ago
5

Use inductive reasoning to describe the pattern. then find the next two numbers in the pattern. –3, 9, –27, 81, . . .

Mathematics
2 answers:
erastovalidia [21]3 years ago
6 0
Tmes -3 each times so next 2 numbers are -243 then 729
miv72 [106K]3 years ago
5 0

Answer:

-243 and 729.

Step-by-step explanation:

We have been given a pattern –3, 9, –27, 81, . . . We are asked to find the next two numbers of our given pattern.

We can see that our given pattern is in form of geometric sequence. We need to find the common ratio of our given sequence by dividing any term of sequence by its previous term.

r=\frac{9}{-3}=-\frac{9}{3}=-3.

So the next number of our given term would be 81\times -3=-243.

The next number would be  -243\times -3=729.

Therefore, the next two numbers of our given sequence are -243 and 729.

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