Answer:
-1,512,390
Step-by-step explanation:
Given
a1 = 15
Let us generate the first three terms of the sequence
For 
Hence the first three terms ae 15, 8, 1...
This sequence forms an arithmetic progression with;
first term a = 15
common difference d = 8 - 15 = - -8 = -7
n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)
Using the formula;
![S_n = \frac{n}{2}[2a + (n-1)d]\\](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a%20%2B%20%28n-1%29d%5D%5C%5C)
Substitute the given values;
![S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390](https://tex.z-dn.net/?f=S_%7B660%7D%20%3D%20%5Cfrac%7B660%7D%7B2%7D%5B2%2815%29%20%2B%20%28660-1%29%28-7%29%5D%5C%5CS_%7B660%7D%20%3D%20330%5B30%20%2B%20%28659%29%28-7%29%5D%5C%5CS_%7B660%7D%20%3D%20330%5B30%20-4613%5D%5C%5CS_%7B660%7D%20%3D%20330%5B-4583%5D%5C%5CS_%7B660%7D%20%3D%20-1%2C512%2C390)
Hence the sum of the first 660 terms of the sequence is -1,512,390
Answer:
(3, 10, 17, 24....)
Step-by-step explanation:
f(x) = 7x - 4
x = 1:
f(1) = 7*1 - 4 = 7 - 4 = 3
x = 2:
f(2) = 7*2 - 4 = 14 - 4 = 10
x = 3
f(3) = 7*3 - 4 = 21 - 4 = 17
then the sequence is:
(3, 10, 17, 24.....)
Answer:
The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.
Answer:
43?
Step-by-step explanation:
lol what?
<h3>
Answer:</h3>
The value of k is 7
<h3>
Step-by-step explanation:</h3>
<em>1. We know f of x is going to be are starting line because it is listed in the equation first.</em>
<em>2. Both f of x and g of x have y intercepts</em>
<em>3. From f of x, count up until you reach g</em>
<em>4. The answer is 7, since you vertically shifted up 7 units</em>
