The function that best defines this arithmetic sequence is:
<h3>What is an arithmetic sequence?</h3>
- In an <em>arithmetic sequence,</em> the <u>difference between consecutive terms is always the same</u>, called common difference d.
The recursive function that defines the sequence is:
- In which
is the first term.
In this problem, the sequence is: {9, 5, 1, -3}
- Each term is the previous term subtracted by 4, hence
.
- The first term is 9, hence
.
Hence, the function is:
You can learn more about arithmetic sequences at brainly.com/question/6561461
I think it is 128 but not 100%
Answer:
Step-by-step explanation:
Add all the sweets together ( that will be your denominator )
5+4+8+4+3= 24
The probability she will pick and yellow and orange ( add those numbers together)
Yellow + orange = Numerator
5+4=9
How you answer should be lay out :
Answer:
1) The determinant = 65
2) The determinant = 152
Step-by-step explanation:
Let us show how to find the determinant of a matrix
You can find the determinant of this Matrix ![\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&m&n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26c%5C%5Cd%26e%26f%5C%5Cg%26m%26n%5Cend%7Barray%7D%5Cright%5D)
by using this rule
Determinant = a(en - fm) - b(dn - fg) + c(dm - eg)
Let us use this rule with the given matrices
1)
![\left[\begin{array}{ccc}1&-1&3\\2&5&0\\-3&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%263%5C%5C2%265%260%5C%5C-3%261%262%5Cend%7Barray%7D%5Cright%5D)
The determinand = 1[(5)(2) - (0)(1)] - (-1)[(2)(2) - (0)(-3)] + 3[(2)(1) - 5(-3)]
= 1[10 - 0] - (-1)[4 - 0] + 3[2 - (-15)]
= 1[10] + 1[4] + 3[2+15]
= 10 + 4 + 3[17]
= 10 + 4 + 51
= 65
The determinant = 65
Let us do the second one
2)
![\left[\begin{array}{ccc}-1&-8&2\\9&1&0\\4&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26-8%262%5C%5C9%261%260%5C%5C4%261%262%5Cend%7Barray%7D%5Cright%5D)
The determinand = -1[(1)(2) - (0)(1)] - (-8)[(9)(2) - (0)(4)] + 2[(9)(1) - 1(4)]
= -1[2 - 0] - (-8)[18 - 0] + 2[9 - 4]
= -1[2] + 8[18] + 2[5]
= -2 + 144 + 10
= 152
The determinant = 152
