-1
Step-by-step explanation:
..................
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer:
see the explanation
Step-by-step explanation:
we know that
The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function
I will analyze two cases
Part 1) we have
so
For x=0
substitute
therefore
The y-intercept is the point (0,0)
Part 2) we have
so
For x=0
substitute
therefore
The y-intercept is the point (0,-1)
Answer:
60, 75, 90, 105, 120
Step-by-step explanation:
