Answer:
The explicit formula
![a_n = 3 +0.25 (n-1)](https://tex.z-dn.net/?f=a_n%20%3D%203%20%2B0.25%20%28n-1%29)
The recursive formula
for ![n=1](https://tex.z-dn.net/?f=n%3D1)
if ![n>1](https://tex.z-dn.net/?f=n%3E1)
Step-by-step explanation:
If a sequence is arithmetical then the difference between any of its consecutive terms will be constant
3, 3.25, 3.5, 3.75,
![3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25](https://tex.z-dn.net/?f=3.25-3%20%3D%200.25%5C%5C%5C%5C3.5-3.25%20%3D%200.25%5C%5C%5C%5C3.75%20-3.5%20%3D%200.25)
The difference between the consecutive terms remains constant so the sequence is arithmetic.
The explicit formula for an arithmetic sequence is:
![a_n = a_1 + d (n-1)](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20d%20%28n-1%29)
Where d is the constant difference between the terms.
![d = 0.25](https://tex.z-dn.net/?f=d%20%3D%200.25)
is the first term of the sequence.
![a_1 = 3](https://tex.z-dn.net/?f=a_1%20%3D%203)
So
![a_n = 3 +0.25 (n-1)](https://tex.z-dn.net/?f=a_n%20%3D%203%20%2B0.25%20%28n-1%29)
Finally, the recursive formula is:
![a_1 = 3\\\\a_n = a_ {(n-1)} +0.25](https://tex.z-dn.net/?f=a_1%20%3D%203%5C%5C%5C%5Ca_n%20%3D%20a_%20%7B%28n-1%29%7D%20%2B0.25)
Answer:
Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
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(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
The whole equation simplified to one answer is 5
Answer is B: 150
write two equations
r+s=190
4r+3s=720
solve by substitution
the get r=150 s=40
Step-by-step explanation:
(X1,Y1) = (-2,2)
(X2,Y2) = (0,1)
• Find slope.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 2)/(0 - (-2))
m = -1/2
The answer is C.