Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
Answer:
11.1%
Step-by-step explanation:
The percentage change in a value can be computed from ...
%change = ((new value)/(old value) -1) × 100%
= ((8500/9559) -1) × 100%
= (0.8892 -1) × 100%
= -11.08%
The value of the car decreased about 11.1% in the first year.
The answer is <span>A.9/16.
The ratio of areas of two similar squares is the square of the ratios of their similar side lengths. Since </span><span>the ratio of the smaller side length to the larger side length is 3/4, the ratio of areas of two similar squares is:
(3/4)</span>² = 3²/4² = 9/16.
Answer:
about and hour and 14 minutes each day
Step-by-step explanation:
just divide 8 by 7 and round to the nearest hundredths place
