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Alenkinab [10]
3 years ago
8

three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f(1) = 6, f(4) = 12, f(7) =

18 f (n + 1) = f(n) + 6
Mathematics
2 answers:
Rainbow [258]3 years ago
6 0
The answer is f<span>(</span>n<span> + 1) = </span>f(n<span>) + 2</span>
Viefleur [7K]3 years ago
4 0
A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2
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this being 6x-4.
then multiply 4*x=4x
then multiply 4*2=8
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now we subtract the x to both sides (choose 4x)
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now we add 4 to both sides.
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we divide 2 to both sides.
we get x=7
final answer:x=7
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