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:
44 and 22
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
if you move the decimal over one you get 15 20 25. If you divide all of them by 5 you get 3 4 5. which is a right triangle.
Answer:
A) 0.9(sin50)
Step-by-step explanation:
Since this is a right triangle, we can use
sin a = opposite side/ hypotenuse
sin 50 = x /.9
Multiply each side by .9
.9 * sin 50 = x/.9 * .9
.9 (sin 50) = x
