Answer:
4n+2
Step-by-step explanation:
The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:
where a_n is the nth term, a_0 is the first term and d is the common difference between them.
We know that
Putting the value in general formula:
So the generalized pattern is 4n+2 ..
Answer:
1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.
=> Option 2 is correct.
2. As definition, in a function, the set of all possible outputs or possible y values is called the range.
=> Option 3 is correct.
3. You pay a fixed amount of 70$ and 3$ for each movie.
=> A function that models the total cost: y = 70 + 3x
=> Option 1 is correct
4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.
=> A function that models the total cost: y = 5 + 2x
=> Option 3 is correct.
5. The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.
=> R = (10 - 1)/(3 - 0) = 9/3 = 3
=> Option 1 is correct.
6. As property of vertical line: 75 = x - 10 + 20
=> x = 75 + 10 - 20 = 65 deg
As property of complement angles: 75 + y = 180
=> y = 180 - 75 = 105 deg
=> Option 2 is correct.
7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.
Hope this helps!
:)
True. For example, if 2 is a, and b was 0, then ab would automatically be 0. Both a and b can be 0 though, but at least one of them must be zero.
