Answer:
an = -39 -100(n -1)
Step-by-step explanation:
The given sequence can be described by a 3rd degree polynomial.* However, we suspect a typo, and that your intention is to have a formula for the arithmetic sequence ...
-39, -139, -239, -339
This has a first term a1 = -39, and a common difference d = -100.
The model for the explicit formula is ...
an = a1 +d(n -1)
Filling in the given values, the formula you seek is ...
an = -39 -100(n -1)
_____
* That polynomial is ...
an = 50n^3 +350n^2 -800n +461
This gives a sequence that starts ...
-39, -139, -139, -339, -1039, -2539, -5139, -9139, ...
A security alarm requires a four-digit code. the
code can use the digits 0-9 and the digits
cannot be repeated. which expression can be
used to determine the probability of
Mr. Blue' salary is an illustration of a geometric sequence
- The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)
- The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
<h3 /><h3>How to determine the explicit formula?</h3>
Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
<h3>How to determine the recursive formula?</h3>
The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
brainly.com/question/6561461
I'm going to convert 12.5% to a fraction, which is 12 1/2. Find the denominator for 1/3 and 1/2 which is 6. 1/3 x 2 = 2/6 and 1/2 x 3 = 3/6. Add them all together. 12 3/6 + 2/6 + 7 = around 19.8 ~ 20 acres