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Sveta_85 [38]
3 years ago
15

Find a recursive formula for the sequence: 3, -5, 11, -21

Mathematics
1 answer:
vekshin13 years ago
3 0

The correct option is the last:

a_n = -2a_{n-1}+1

In fact, every term in the sequence is one more than twice the opposite of the previous one:

We start with 3. Twice its opposite is -6. Plus one, we get -5.

We start with -5. Twice its opposite is 10. Plus one, we get 11.

We start with 11. Twice its opposite is -22. Plus one, we get -21.

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