The easiest way to answer this is to try all choices, plug
in values for the 1st term and 2nd term then check if the
answer matches with 5 and 2. (n = 1 and n = 2)
We know that n starts with 1 because that is our 1st
term, we do not have 0th term, therefore that leaves us with 2
choices.
Choice 1: an = 5 − 2(n − 1); all integers where n ≥ 1
n = 1
a1 = 5 – 2 (1 – 1) = 5 – 2 (0)
a1 = 5
n = 2
a2 = 5 – 2 (2 – 1) = 5 – 2 (1)
<span>a2 = 3 (FALSE!)</span>
Choice 2: an = 5 − 3(n − 1); all integers where n ≥ 1
n = 1
a1 = 5 – 3 (1 – 1) = 5 – 3 (0)
a1 = 5
n = 2
a2 = 5 – 3 (2 – 1) = 5 – 3 (1)
<span>a2 = 2 (TRUE)</span>
Therefore the correct answer is:
<span>an = 5 − 3(n − 1); all integers where n ≥ 1</span>
Answer:
96 dollars and 50 cents
Step-by-step explanation:
Is means equal
of means multiplication
so
20 = 40% x a
40% = 40/100 = 4/10 = 2/5
So
20 = 2/5 x a
Multiply both sides by 5/2
20 x 5/2 = a
10 x 5 = a
a =50
So your final answer is
No hope this helps bc it’s being multiplied and even then u simplify
The function given is a composite function. Let's work from the outside in:

First step:
![\frac{d}{dx}[y]= \frac{d}{dx}[ln(sinh(2x))]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5By%5D%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bln%28sinh%282x%29%29%5D)
Now, let's work it out:
![\frac{dy}{dx} = \frac{1}{sinh(2x) } * \frac{d}{dx}[sinh(2x)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7B1%7D%7Bsinh%282x%29%20%7D%20%2A%20%20%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bsinh%282x%29%5D)
Next step:
![\frac{dy}{dx} = \frac{1}{sinh(2x) } * cosh(2x) * \frac{d}{dx}[2x]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7B1%7D%7Bsinh%282x%29%20%7D%20%2A%20cosh%282x%29%20%2A%20%20%5Cfrac%7Bd%7D%7Bdx%7D%5B2x%5D%20)
Next step:

Simplify:

Simplify further:

Remember that:

So,
your final answer is:
So, your answer is
C. Hope I could help you!