Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
The expected value is $38.46.
The probability of drawing a 10 from any suit is 4/52. Multiply this by the earnings, 500:
4/52(500) = 2000/52 = 38.46
The answer is -4 + 7. Because its subtracting 4 to zero which makes it -4. And then its adding 7 so the answer is -4+7
Answer:
Step-by-step explanation:
The formula of an area of a elipse:
We have:
Substitute:
Answer:
<u>39 percent</u> is increase in mileage.
Thus, the correct option is B. 39%.
Step-by-step explanation:
Given:
A runner increased her distance from 9 miles to 12.5 miles a week.
Now, to find percent increase in mileage.
Previous mileage = 9 miles.
Present mileage = 12.5 miles.
<em>Mileage increase = 12.5 - 9 = 3.5 miles.</em>
Now, to get the percent increase in mileage:
<u><em>Approximately the percent increase = 39%.</em></u>
Therefore, 39% is increase in mileage.
Thus, the correct option is B. 39%.
