1. Which of the following is not an arithmetic sequence?

Mathematics

1 answer:

AnnZ [28]2 years ago

7 0

Answer:

I think it is A

Step-by-step explanation:

Sorry if I'm wrong

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A company purchased equipment and signed a 7-year installment loan at 9% annual interest. The annual payments equal $9,000. The

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261, 256, 251, ...<br> Find the 46th term

slava [35]

Answer:

46th term is 36.

Step-by-step explanation:

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zaharov [31]

$\bold{\text{Answer:}\quad \dfrac{\sqrt2}{144}}$

<u>Step-by-step explanation:</u>

When you plug in 3 directly to the equation, you get 0/0

Since it is indeterminate, you have to use L'Hopital's Rule.

That means that you find the limit of the DERIVATIVE of the numerator and the DERIVATIVE of the denominator.

$\dfrac{d}{dx}(\sqrt{5+\sqrt{2x+3}}-2\sqrt2)\quad = \dfrac{1}{2\sqrt{5+\sqrt{2x+3}}(\sqrt{2x+3})}\\\\\\f'(3)\ \text{for the numerator}\ =\dfrac{1}{12\sqrt2}\\\\\\\\\dfrac{d}{dx}(x^2-9) = 2x\\\\\\f'(3) \text{for the denominator}\quad = 6\\\\\\\dfrac{f'(3)\ \text{numerator}}{f'(3)\ \text{denominator}}\quad = \dfrac{\dfrac{1}{12\sqrt2}}{6}\quad = \dfrac{1}{72\sqrt2}\quad \rightarrow \large\boxed{\dfrac{\sqrt2}{144}}$