Given parameters:
First term of the sequence = x
Second term = x + 2
Third term = x + 4
Sum of the first three terms = 72
Unknown:
First term of the sequence = ?
Solution:
The sum of the first three terms is unknown;
(x) + (x + 2) + (x + 4) = 72
Solve for x;
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6
3x = 66
x =
= 22
The first term of the sequence is 22
Answer:
The mean slope on the interval is 68
Step-by-step explanation:
The formula to find the mean slope on an interval [a, b] is given by:

So now, we are going to find f(10) and f(-4) and will substitute these values in the formula.

So the mean slope of the function on the interval [-4,10] is:

W(4) = 3(4) + 7
w(4) = 12 + 7
w(4) = 19
Answer:
2
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
In similar triangles, corresponding elements are proportional. Then we get,
(2x + 1)/(x-1) = 10/4
4(2x +1) = 10(x-1)
8x + 4 = 10x - 10
8x = 10x - 14
2x = 14
x = 7
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