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Dimas [21]
3 years ago
11

What is the recursive formula for this arithmetic sequence? -16,-7,2,11...

Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0
F(n)=-16
f(n)=f(n-1)+9
Fiesta28 [93]3 years ago
4 0

Answer:

The recursive formula for the arithmetic sequence is given by:

a_n = a_{n-1} +d   for n\geq 2

where, d is the common difference.

Given the sequence:

-16,-7,2,11...

This is a arithmetic sequence:

a_1 = -16 and d = 9

Since,

-7-(-16) = -7+6 = 9,

2-(-7) = 2+7 = 9,

11-2 = 9 and so on...

⇒ common difference(d) = 9

Substitute in [1] we have;

a_n = a_{n-1}+9 for n\geq 2

Therefore, the recursive formula for this arithmetic sequence is,

a_1 = -16

a_n = a_{n-1}+9   for n\geq 2

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Answer:

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You can use the substitution method.
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