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
Anika [276]
3 years ago
11

How many terms of the arithmetic sequence {-4,-2, 0, ....} will give a sum of 500?

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

a. 25

Step-by-step explanation:

Sₙ = n/2 * (2 * a₁ + (n-1) * d)

Sₙ = 500     a₁ = -4    d = 2

500 = n/2 * (-8 + (n-1) * 2) = n/2 * (-8 + 2n - 2) = n/2 * (2n - 10) = n² -5n

n² - 5n -500 = 0

(n - 25) (n + 20) = 0

n > 0

n = 25

You might be interested in
If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
omeli [17]

2.4cm is the tangent of A

6 0
2 years ago
1. Graph the linear function f(x) = -2x + 1
anyanavicka [17]

Answer: The slope is -2 and the y-intercept is (0,1)

Step-by-step explanation:

3 0
1 year ago
The pH level of a solution measures how acidic or basic the solution is. Values between 0 and 7 are considered acidic while valu
Furkat [3]

Answer:

  about 2.47

Step-by-step explanation:

Your calculator will tell you ...

  -\log{(3.4\times 10^{-3})}\approx 2.4685\approx\bf{2.47}

4 0
2 years ago
Arlene is testing whether school is more enjoyable when students are making high grades. She asked 100 students if they enjoyed
WARRIOR [948]
What is the probability that a student with a GPA below 3.0 does not enjoy school?
Only 15/60 below 3.0 enjoy school.
Rounded, that equals 25%.

Therefore, there is a 75% probability that a student with a GPA below 3.0 does not enjoy school.
6 0
3 years ago
3.3 by 2.5 + 5.7 by 2.5
den301095 [7]

Answer:

22.5

Step-by-step explanation:

Using PEMDAS, we know that for expressions such as this, we're supposed to multiply before we add. This means that it should look something like this: (3.3 x 2.5) + (5.7 x 2.5). When you solve the multiplication first, you get 8.25 + 14.25. Solve, and you get 22.5. This problem can be solved using any basic calculator, or scratch paper!

5 0
2 years ago
Other questions:
  • 0.2(x + 1) + 0.5x = –0.3(x – 4)
    10·1 answer
  • Find the center and radius of each circle x^2+y^2-6x+2y+9=0
    13·1 answer
  • Can anyone help me with this fraction?
    5·2 answers
  • If each dozen cookies needs 3/4 of a bag of flour to make how many bags of flour does Grandma need to buy if she's making 10 doz
    10·1 answer
  • Which is greater -1 or -11
    14·2 answers
  • Help with this question please
    11·1 answer
  • The table shows pairs of values for a linear function. A different function is defined by the equation y = -2x. Which of the fol
    5·1 answer
  • Find area of the figure
    12·1 answer
  • Dennis drew the line of best fit on the scatter plot shown below:
    9·1 answer
  • A batting machine uses an automatic baseball feeder. During baseball
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!