Answer:
f(n) = 6n + 12
Step-by-step explanation:
There is a common difference in consecutive number of seats, that is
42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 18 and d = 6 , then
f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12
It represents a geometric sequence because it has a common ratio of 2.
In fact, a sequence is said to be geometric if any two adjacent elements are in the same ratio. In other words, if you choose any index
and consider the two consecutive terms
and
, you have

no matter which index you chose. In your case, the next term in the sequence is always the double of the previous one, so the ratio between two consecutive terms is always 2, and the series is geometric with common ratio 2
Let's go though the choices.
Major axis will get shorter. TRUE, CHECK ME
As the plane moves closer to the vertex the ellipse stays the same shape but shrinks.
Ellipse will become a circle. FALSE
As long as the plane is tilted, the ellipse can't be a circle.
Ellipse will degenerate to a point. TRUE, CHECK ME
Eventually the plane gets to the vertex, at which point (ha!) we have a single point.
Nappes? Is that a word? FALSE
The plane needs a steeper angle, steeper than the generators, before it can pass through both halves.
The generators are the lines through the vertex that form the cone. The plane isn't steep enough to hold any of them. FALSE
Step-by-step explanation:
Let the number with two decimal places be 1.23
Let the number with one decimal place be 4.5
Then 1.23 multiplied by 4.5
= 1.23 × 4.5
= 5.535
The result has more than two nonzero digits.
Note: When you multiply two decimal numbers, the decimal place(s) of the result is the addition of the decimal places of each of the numbers being multiplied.
Answer:
the image is sideways
Step-by-step explanation: