Which function defines the sequence -16,-22,-28,-34 where f(10)= -70
1 answer:
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.
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Step-by-step explanation:
Applying the chain rule
Then it becomes
In x=0
![\frac{d[tex]f'(0)=-f'(0)\\f'(0)+f'(0)=0\\2f'(0)=0\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Btex%5Df%27%280%29%3D-f%27%280%29%5C%5Cf%27%280%29%2Bf%27%280%29%3D0%5C%5C2f%27%280%29%3D0%5C%5C)
f}{dx} =-\frac{df}{dx}[/tex]
Then
