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which function defines the sequence -16,-22,-28,-34 where f(10)= -70
Question
which function defines the sequence -16,-22,-28,-34 where f(10)= -70
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Mathematics
4 years
2021-08-29T22:53:02+00:00
2021-08-29T22:53:02+00:00 1 Answers
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Answers ( )
Answer:
f(n) = -6n – 10.
Step-by-step explanation:
This is arithmetic sequence with first term a1 = -16 and common difference d = -6.
So f(n) = a1 + d(n – 1)
= -16 – 6(n – 1)
= -16 – 6n + 6
= -6n – 10.
Checking:
f(10) = -6(10) – 10 = -70.