1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miss Akunina [59]
3 years ago
8

If the common difference in an arithmetic sequence is 4, and the 20th term is 36, what is the first term?

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0
The sum of an arithmetic sequence can be found using the formula   S = n/2(a + l) where S equals sum, n equals # terms, a equals the first term and l equals last term   we know enough of these to find the missing pieces   S = -15 n = 20 a = 4   -15 = 20/2 (4 + l)  now we only have one unknown   -15 = 10 (4 + l) -15 = 40 + 10l -55 = 10l   l = -5.5   so the last term is -5.5   now we can use anothe formula to find the common difference   l = a + (n-1) d    so the last term equals the first term (a) plus # terms -1 times (d) the common difference   -5.5 = 4 + (20-1) d   -9.5 = 19 d   d = -.5   so your common difference is -.5
You might be interested in
Quadrilateral ABCD has vertices AC-3.6), B(6,0), C(9. -9), and D(0, -3). Prove that ABCD is a) a parallelogram​
Nata [24]

9514 1404 393

Explanation:

The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.

  A + C = (-3, 6) +(9, -9) = (6, -3)

  B + D = (6, 0) +(0, -3) = (6, -3)

Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.

___

The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).

7 0
2 years ago
Are these answers right?
Elan Coil [88]
No 3 should be inch 6 should be feet
7 0
3 years ago
Read 2 more answers
What is the volume of a cone with a radius of 5 inches and a height of 8 inches?
Sindrei [870]

V=209.44 | Formula for the volume of a cone: V=\pi r^2\frac{h}{3}

5 0
3 years ago
PL HELP ME GIVING 100
il63 [147K]

Answer:

C ≤ 11

Step-by-step explanation:

c − 5.5 + 5.5 ≤ 5.5 + 5.5

add 5.5 to both sides

8 0
3 years ago
Read 2 more answers
Sandy programmed a website’s checkout process with an equation to calculate the amount customers will be charged when they downl
Makovka662 [10]

if one customer shows up, and she buys one song, that's $1.29, if she doesn't buy anymore, then that's the charge.

the first song is always at a full price, and after that, to encourage buying, the next ones are just 99 cents, let's see how it goes after a few songs purchases.

1 song.........................$1.29

2 songs.......................$1.29 + 0.99(2)

3 songs.......................$1.29 + 0.99(3)

4 songs.......................$1.29 + 0.99(4)

c songs.......................$1.29 + 0.99(c)

s(c) = 1.29 + 0.99c.

3 0
3 years ago
Other questions:
  • Please answer correctly !!!! Will mark brainliest !!!!!!!
    9·1 answer
  • Describe the pattern 2, 4, 9, 11, 16, 18, 23
    12·2 answers
  • A line passes through the points (4, 19) and (9, 24). Write a linear function in the form y=mx+b for this line
    7·1 answer
  • What is an equation in point slope form of the line that passes through -3, -1 and has a slope of 2
    8·1 answer
  • Can someone help with this please
    13·2 answers
  • Which is the solution to the inequality?<br> y+15 -12<br> C.y 18
    8·1 answer
  • The bill for a group of eight people at a restaurant was $125 before the tip was added. The group wants to add an 18% tip and sp
    5·1 answer
  • Volume of a cylyinder witha heght of 2.3 and a base diameter of 15.2
    7·1 answer
  • Of the students in Bill's grade, 23 students have a pet and the other 10 students do not. What is the ratio of the number of stu
    11·2 answers
  • (PLS HELP, if you send a file i'm reporting you)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!