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
Romashka-Z-Leto [24]
3 years ago
5

Time sensitive question. Find the sum of the first 26 terms of an arithmetic series whose first term is 7 and 26th term is 93.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

ANSWER

S_{26}=1300

EXPLANATION

The sum of an arithmetic sequence whose first term and last terms are known is calculated using

S_{n}= \frac{n}{2} (a + l)

From the given information, the first term of the series is

a = 7

and the last term of the series is

l = 93

The sum of the first 26 terms is

S_{26}= \frac{26}{2} (7 + 93)

S_{26}= 13 (100)

S_{26}=1300

You might be interested in
CD is the perpendicular bisector of both XY and ST and CY=20.
agasfer [191]
Is a 5 percent effective
8 0
3 years ago
Read 2 more answers
Find the median of the set of data this box-and-whisker plot represents.
egoroff_w [7]

Answer:

18 I think

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
PLS HELP<br><br> What are the right answers? Or is this correct?
LekaFEV [45]

Answer:

i think your correct my bro

Step-by-step explanation:

7 0
2 years ago
enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2
Marat540 [252]
The correct question is
<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
 4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

 (4x² + 8x)=-1

Factor the leading coefficient 

 4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

 4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>
6 0
3 years ago
Read 2 more answers
A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that th
Rudik [331]
You have a 2/9 chance of it being white. It is how many of that color or number over the total, so you have a 2/9 chance of it being white.
6 0
3 years ago
Other questions:
  • The Hydro water department has a monthly service charge of $15.50 and a volume charge of $1.73 for every 100 cubic feet of water
    13·1 answer
  • Simplify and expand (1/3)to 2nd power × 18 + (1/2)to 2nd power × 4
    8·1 answer
  • What is the rate of change and initial value for the linear relation that includes the points shown in the table? x; 1,3,5,7
    6·1 answer
  • Deepak spent $178 on groceries last
    5·2 answers
  • Please help me on a question <br><br> 43.2 dg = ______ hg
    13·2 answers
  • What is 22 pt =______ qt
    7·2 answers
  • PLS HELP I'LL MARK BRAINLEST
    7·1 answer
  • Charlie buys a new Bey Blade for $11.38. He gives the cashier $15.00. How much change will he get back? Select TWO ways he will
    7·2 answers
  • Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions
    7·2 answers
  • Please Help ! Its a math problem !!! Given the tables below, what is the difference between the average rates of change over the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!