Answer:
1) a1 = -5, a(n) = a(n-1) + 2
Step-by-step explanation:
The explicit formula for an arithmetic sequence can be written ...
an = a1 +d(n -1)
The corresponding recursive formula is ...
a(1) = a1, a(n) = a(n -1) +d
__
Comparing the above explicit formula to the one you're given, you see that ...
a1 = -5, d = 2
Using these values in the recursive formula gives you ...
a(1) = -5, a(n) = a(n-1) +2
Answer:
a)

b)

Step-by-step explanation:
a) We have the following sentence:
There is a person in your class who was not born in California.
Let ,,x'' is person.
Let P(x) be ,,x is in your class''.
Let Q(x) be ,,x is born in California''.
we get:

b) We have the following sentence:
A student in your class has been in a movie.
Let ,,x'' is student.
Let P(x) be ,,x is in your class''.
Let R(x) be ,,x has been in a movie''.
we get:

4.29*1015=4354.35
1.77*10^-4= 0.000177
first * second = 0.77071995 with your own sig figs
Answer:
f = 0
x > 2y
x ≤ 8
S ≥ 18
Step-by-step explanation:
Let 'f' represent the number of free throws.
Let 'x' represent the number of 2 - point baskets.
Let 'y' represent the number of 3 - point baskets.
Let S represent the Season high.
1) Ryan says he did not shoot any free throws.
⇒ f = 0
2) 2 - point baskets more than twice the number of 3 - point baskets.
⇒ x > 2y
3) Number of two points is less than or equal to 8.
⇒ x ≤ 8.
4) Last Season high, he had scored 18 points. Note that the problem says, Ryan equaled or bettered than last season high. That means he should got at least 18 points this season. So, the equation would be:
S ≥ 18
Answer:
No real solutions.
Step-by-step explanation:
x² + 6x + 10 = 0
a = 1
b = 6
c = 10
D = b² - 4ac = 6² - 4*1*10 = 36 - 40 = - 4
- 4 < 0,
so this equation has no real solutions.