Explicit rule:
a(n)=(2/5)(5^(n-1))
For a recursive rule, we need to express a(n) in terms of a(n-1), which we can obtain from the explicit rule
a(n)=(2/5)(5^(n-1))
substitute n-1 for n above
a(n-1)=(2/5)(5^((n-1)-1))
=(2/5)(5^n-2)
Divide:
a(n)/a(n-1)=(2/5)(5^(n-1)) / ((2/5)(5^(n-2)))
=1/5^(-1)
=5
Therefore, multiplying both sides by a(n-1)
a(n)=5 a(n-1)
a(1)=(2/5)(5^(1-1))=2/5
So the recursive rule is
a(1)=2/5, a(n)=5 a(n-1)
Answer: A. (0,2)
Y-Intercept - (0,2)
No X-Intercept.
Step-by-step explanation: f(x)=2*3 is a horizontal line to the x-axis, which means that the y-intercept is (0,2) and is no x-intercept.
Hope this helps you out! ☺
120 + 0.01(3000) + 0.02(9650 - 3000) =
120 + 30 + 0.02(6650) =
150 + 133 =
283 <==
Answer:
True
Step-by-step explanation:
The margin of error of a confidence interval is given by:

In which z is the critical value related to the confidence level,
is the standard deviation of the population and n is the size of the sample.
So as n increases, the margin of error decreases, that is, the interval gets narrower.
The students could produce a narrower confidence interval by increasing the sample size to 100.
From the explanation above, the answer is true.