-converting to a common denominator
The terms -c of the left side was converted to -4ac/4a to have the same denominator of b^2/4a.
<h3>
Answer: 1/8</h3>
Explanation:
Pick any term and subtract off the previous term to get the common difference.
So,
13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8
Or
9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8
The positive common difference value indicates this arithmetic sequence is increasing.
Answer:
2, 8, 90, 160
that is the focal, vertex l, direction
If you look at the sequence, you would observe:
5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.
There is a common difference of 3, so the sequence is an Arithmetic Progression.
nth term of an AP = a + (n - 1)d
where a = 1st term = 2, d = common difference = 3
nth term of an AP = a + (n - 1)d
nth term of an AP = 2 + (n - 1)*3 = 2 + 3*n - 3*1 = 2 + 3n - 3
= 2 - 3 + 3n
= -1 + 3n
= 3n - 1
The nth term = 3n - 1, where n = 1, 2, 3, 4, 5,....
I hope this explains it.