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
Julli [10]
3 years ago
8

the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 ter

ms
Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

S_{30} = \frac{30}{2} [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

You might be interested in
Overall, divorce rates have declined in the last 20 years, but among middle-aged couples, the rates are rising. Do an internet s
denpristay [2]

Answer:

The current divorce rate is about 7% based on the survey.

Step-by-step explanation:

The divorces occur when two person fails to accept each other as a life partner. In the country the divorce rate is about 7% of which mostly couples are at the age of 20 - 25. The people of age 30 plus are less likely to get divorced as they have matured mind sets which accepts each other differences and tries to adjust the situation.

6 0
3 years ago
Okay hi
goblinko [34]

Answer:

30

Step-by-step explanation:

you have 5 marbles and 6 cards just multiply

Hope This Helps!     Have A Nice Day!!

8 0
3 years ago
Read 2 more answers
A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur
Crazy boy [7]

Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

tan(10º) = 107/dA

dA = 107/tan(10º)

dA = 607.

For the horizontal position at point B, we have that:

tan(37º) = 107/dB

dB = 107/tan(37º)

dB = 142.

Hence the distance is given by:

D = dA - dB = 607 - 142 = 465.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

6 0
2 years ago
Use the drawing tool(s) to form the correct answers on the provided grid. Consider the function g. For the x-value given in the
NeX [460]

Answer:

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

Step-by-step explanation:

g(x) = -3(1/2)^x

Putting values of x

x     g(x)

-2    -3(1/2)^-2 = -12

-1     -3(1/2)^-1 = -6

0     -3(1/2)^0 = -3

1      -3(1/2)^1 = -3/2

Now, making the graph we will plot

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

The graph is shown in figure below.

8 0
3 years ago
Peter went to his local zoo where 50% of its exhibits featured lions. If the zoo features 24 exhibits in total, then how many of
Sauron [17]
12 exhibits featured lions since half of 24 is 12.
3 0
3 years ago
Read 2 more answers
Other questions:
  • The length of TR is 17 units. What are the lengths of SV and QT? (please hurry i dont get this question) also i need each indivi
    13·2 answers
  • A baby blue whale gains about 200 pounds each day about how many pounds does a baby blue whale gain per hour?
    6·1 answer
  • What is the solution to the equation
    15·2 answers
  • PLEASE HELP ME!! 12 points and brainliest!!!!!!
    12·2 answers
  • if 300 jellybeans cost you x dollars. how many jellybeans can you purchase for 50 cents at the same rate?
    14·1 answer
  • Does anyone know how to solve this ?
    5·2 answers
  • I can't find m . I don't know how to do sin, cos, or tan
    5·1 answer
  • Express the tax rate of $4.95 per $100 as a percent
    10·1 answer
  • NEED HELP ASAPPP !! find the y-intercept of the line of the graph.​
    7·1 answer
  • Which is the domain of the function f(x) =
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!