Respuesta :
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.
The function that defines the sequence is f(n) = -6n - 10.
What is an Arithmetic Sequence ?
A sequence of numbers which have a relation between them and the consecutive numbers increase or decrease by a fixed amount is called as an Arithmetic Sequence.
The sequence given is -16,-22,-28,-34
This is arithmetic sequence
first term a1 = -16
common difference d = -6.
The nth term of an arithmetic sequence is given by
f(n) = a1 + d(n - 1)
f(n) = -16 - 6(n - 1)
f(n)= -16 - 6n + 6
f(n)= -6n - 10.
To verify this
f(10) = -6(10) - 10 = -70.
Therefore , The nth term is given by f(n)= -6n - 10.
To know more about Arithmetic Sequence
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