A)
6, 10, 14, 18
a = 6 = first term.
common difference, d = 10 - 6 = 4
nth term of an arithmetic sequence = a + (n - 1)*d = 6 + (n - 1)4
= 6 + 4*n - 4*1
= 4n - 4 + 6
= 4n + 2
nth term of the arithmetic sequence is 4n + 2
b)
different arithmetic = 3n + 5
If 108 is on the sequence, it would have a whole number solution for n.
3n + 5 = 108
3n = 108 - 5
3n = 103
n = 103/3 = 34 1/3
n is not a whole number, so 108 is not a term of the sequence.
Hope this helps.
The answer is 2.483 because you do 248.3 ÷ 100
Answer:
slope is 4 and y-intercept is 12
Step-by-step explanation:
To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.
Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:
0 = 4 * (-3) + b
0 = -12 + b
b = 12
Then the slope is 4 and the y-intercept is 12.
Each side is an isosceles trapezoid, so ED=2 since you would need to add 2 to each end of the bottom line to get the top line. Now use Pythagorean Theorem to get ED^2+AD^2=AE^2. Plug in your numbers to solve for AE. This is the height of each trapezoid. Then use your formula for the area of a trapezoid, (B1+B2)h/2, to get the area of each side, then multiply by 4 to get the lateral area since there are 4 sides. Remember lateral area is just the sides, then surface area is when you include the area of the two bases.
