Answer:
55
Step-by-step explanation:
To solve the expression, ![\sqrt[3]{\frac{n}{4}} + \frac{n}{10}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7Bn%7D%7B4%7D%7D%20%2B%20%5Cfrac%7Bn%7D%7B10%7D)
substitute n = 500 and simplify according to order of operations.
![\sqrt[3]{\frac{500}{4} } + \frac{500}{10}\\\\\sqrt[3]{125}+50\\ 5+50\\\\55](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B4%7D%20%7D%20%2B%20%5Cfrac%7B500%7D%7B10%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B125%7D%2B50%5C%5C%205%2B50%5C%5C%5C%5C55)
Answer:
<u>x = -7.5 - 1.5(n−1) </u>
Step-by-step explanation:
the explicit formula for the arithmetic sequence has the form
x = a + d(n−1)
a is the first term and d is the common difference
The given arithmetic sequence is
-7.5,-9,-10.5,-12
The first term is -7.5
d = common difference = -9 - (-7.5) = -1.5
∴ x = -7.5 - 1.5(n−1)
