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NARA [144]
3 years ago
8

Given the sequence −2,−8/3,−103,−4,−14/3,... find the recursive formula.

Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

I suppose the third term should say -10/3, not -103.

Notice that

-2 = -6/3

-4 = -12/3

so that, starting with the first term <em>a</em>(1) = -6/3, the every following term is obtained by subtracting 2/3.

-2 - 2/3 = -6/3 - 2/3 = -8/3

-8/3 - 2/3 = -10/3

-10/3 - 2/3 = -12/3 = -4

and so on.

So the recursive rule is

<em>a</em>(1) = -2,

<em>a</em>(<em>n</em> + 1) = <em>a</em>(<em>n</em>) - 2/3, for <em>n</em> ≥ 1

or C.

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