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
ASHA 777 [7]
3 years ago
9

The first and last terms of a 10-term arithmetic series are listed in the table. What is the sum of the series?

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0

Answer:

b. 390

Step-by-step explanation:

a_1 =3\\a_n=75\\n=10\\\\use \ the \ arithmetic\  formula \\\\S_n=\frac{n}{2}(a_1+a_n)\\S_1_0=\frac{10}{2} (3+75)\\\\ \\S_1_0= 5 (78)\\\\S_1_0=390\\

USPshnik [31]3 years ago
3 0
The arithmetic sequence general formula is an = a1 + d *(n-1) where d is the arithmetic difference and n is an integer. In this case, upon derivation, the formula that represents the sum of the series is S = (a1  + an)*(n/2). Substituting, S = (3+75)*(10/2) equal to 390
You might be interested in
Help! Solve for the value of x.
Ludmilka [50]

Answer:

x=6 degrees

Step-by-step explanation:

I know that 31+(10x-1)=90. Then I have to subtract 31 from 90 to get 10x -1.

That's 59. I solve for x in the equation 59=10x-1.

That is the same thing as 60=10x, which is also the same as 6=x.

4 0
3 years ago
Help please!!!!
MissTica

Answer:

I'm not sure about it

Step-by-step explanation:

4 0
3 years ago
Find the area of the shaded region
nexus9112 [7]

Answer:

40

Step-by-step explanation:

area of shaded region = area of whole figure - area of non shaded region

area of whole figure: The whole figure is a rectangle

The area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 10ft and the given length is 8ft

Hence area of whole figure = 10 * 8 = 80ft²

Area of non shaded region: the non shaded region also creates a rectangle

Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 5ft and the given length is 8ft

Hence, area of non shaded region = 5 * 8 = 40ft²

Finally we can find the area of the shaded region.

We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure

If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40

Then, area of shaded region = 80 - 40 = 40ft²

6 0
3 years ago
Rigid motion transformations produce images that:
igomit [66]

C. Moved to a different location but congruent in size and shape.

Rigid motion transformations are when a shape is moved, rotated, reflected, or any other type of transformation but the size and shape stay the same.

Non-rigid is when an object is moved but the size and shape can change.

Hope this helps :))

5 0
3 years ago
(4 ten Thousands 4 thousands) x 10 =
sweet-ann [11.9K]
The answer would be

40,000
8 0
3 years ago
Read 2 more answers
Other questions:
  • 6.3in<br> 14.7<br> 8.4in<br> how do you get the volume of the triangle?
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=6.25%20%5Ctimes%201.4" id="TexFormula1" title="6.25 \times 1.4" alt="6.25 \times 1.4" align="a
    14·1 answer
  • Which function has zeros -4 and 2
    5·1 answer
  • - 2(x + 3) + 2(x + 4) = 24​
    7·2 answers
  • George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4
    13·2 answers
  • I asked this question yesterday, but no one answered, and i really need help! it would be nice if u halped :) thank you
    14·1 answer
  • A dog walks due east 180 ft to a corner.
    11·1 answer
  • Since the great drought left the soil completely useless, the people of that country were forced to______ food from other countr
    11·2 answers
  • 485 <img src="https://tex.z-dn.net/?f=485%20divided%20by%209" id="TexFormula1" title="485 divided by 9" alt="485 divided by 9" a
    8·2 answers
  • 9/32 - 1/16<br><br>O 5/16 <br>O 7/32<br>O 1/4​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!