Answer:
11, 14, 17, 20
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Consider 2, 6, 18, 54
6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic
Consider 3, 6, 12, 24
6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic
Consider 11, 14, 17, 20
14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic
Consider 7, 11, 13, 18
11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic
The arithmetic sequence is 11, 14, 17, 20
I had 32 cookies and I wanted to give 14 of my friends a cookie each, how many cookies are left?
I went to the pet store with $32 and i bought a $15 for my dog, how much money do I have left?
My friend (insert any random name here) was biking a 32 mile race, he/she has gone 15 miles so far, how many more miles does (their name here) have to bike?
Answer:
Step-by-step explanation:
<u>How do you find the equation of a line parallel to another line?
</u>
<em>Method 1:</em> Using Slope Intercept Form
Substitute the slope from original line (3 in this case) into the equation of the line y = 3x + b.
Substitute the given point (1,7) into the x and y values 7 = 3(1) + b.
Solve for b (the y-intercept)
Substitute this value for 'b' in the slope intercept form equation y = 3x + 4.
<u>How do you find the Y intercept of a parallel line?
</u>
Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.
