Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Answer: I think it is (6.5, 8).
Step-by-step explanation:
I don't know if you had any choices, but I graphed it on Desmos and that was the closest point. I hope this helps!! :)
Answer:
aprox: 9 years?
Step-by-step explanation:
im sorry if this is wrong!
Answer:
13 / 30
Step-by-step explanation:
The probability an be represented by the number of desirable outcomes over the total outcomes. We know the total is 30 since there are 30 students to be chose from. Now, we need to find the number of students who play basketball and baseball. We can add the two values we are given:
7 + 11 = 18 students
BUT.... we are over-counting the students who play both. We need to subtract those 5 students, since the are counted twice, and that way, they will only be counted once:
18 - 5 = 13 students
Using the formula for probability at the top, we get:
13 / 30
Answer:
Vertical I believe. #Hopethishelps
Step-by-step explanation:
