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
Alla [95]
3 years ago
10

The 1st,12th and the last term of an AP are 4,31.5 and 376.5 respectively. Determine the number of terms in series

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer: 150

Step-by-step explanation:

To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d

From the question,

First term = a = 4

12th term = 31.5

We need to get the common difference which will be:

Since 12th term = 31.5

a + (n - 1)d = 31.5

a + (12 - 1)d = 31.5

a + 11d = 31.5

Recall that a = 4

4 + 11d = 31.5.

11d = 31.5 - 4

11d = 27.5

d = 27.5 / 11

d = 2.5

Since last term is 376.5, the number of terms in it will be calculated as:

a + (n - 1)d = 376.5

4 + (n - 1)2.5 = 376.5

4 + 2.5n - 2.5 = 376.5

2.5n = 376.5 - 4 + 2.5

2.5n = 375

n = 375 / 2.5

n = 150

The number of terms in the series is 150.

You might be interested in
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
I am Lyosha [343]

irrational number, any real number that cannot be expressed as the quotient of two integers.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers.

1st Is rational

2nd one is irrational

3rd is irrational

4th is rational

6 0
3 years ago
Can someone help me with this question
Dmitriy789 [7]

Answer:

The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.

I hope I was able to help!

Step-by-step explanation:

7 0
3 years ago
100 points and brainlyest !!! ONLY ANSWER IF U KNOW THE ANSWER !!!
Reil [10]

Answer:

Step-by-step explanation:

A” (-2,2)

B” (-1,-2)

C” (-4,-4)

5 0
2 years ago
Read 2 more answers
What is x if rs= 6, st=9, tu=7, uv=15,vr=14
dusya [7]

When I leave home to walk to school2And what I think I've seen3Now, what can I say4And I've kept careful track5Just a broken down wagon6When Isay that i saw it on Mulberry St7The story would really be better to hear8A reindeer is better; he's fast and he's fleet9To pull a thing that runs on wheels10Jack or Fred of Joe or NAT-11Say! That makes a story that no one can beat12But he'd look simply grand13If a man sits and listens while hitched on behind14But now what worries me is this...15To guide them through where's traffic's thick-16And he raises his hat as they dash by the stand.17With a roar of its motor an airplane appears18A big magician doing tricks..19For I had a story that NO ONE could beat!20There was so much to tell, I JUST COULDN'T BEGIN!21"Nothing," I said, growing red as a beet
8 0
3 years ago
Each point shown below is reflected over the x-axis to create two additional points. The four points are connected with straight
Licemer1 [7]

Answer:

i would say 36

Step-by-step explanation:

because you take each line equally making a big square

8 0
4 years ago
Read 2 more answers
Other questions:
  • jenna eats dinner at a restaurant. her bill is 14.50. jenna pays her bill and leaves a tip. write an inequality to represent the
    5·1 answer
  • Please help me <br> 10 points
    10·1 answer
  • A store’s supply/demand graph for ceiling fans is shown above. If the price is at the equilibrium point, how much money will the
    9·1 answer
  • What is the volume of the triangular prism shown below? PLEASE HELP 10 points
    12·1 answer
  • Solve for N (sorry the picture is blurry)
    15·2 answers
  • Y=-8(x+3)(x-2) in standard form
    8·1 answer
  • Math help algebra or algebra 2<br>1=k+14​
    11·2 answers
  • Point P’(5,-4) is the image of point(2,3) under a translation what is the image of 6,-2 under the same translation
    13·1 answer
  • Help how do I expand it​
    10·1 answer
  • 14. A satellite orbits 22, 300 miles above the equator. It completes one revolution in 24 hours. Assume that the radius of the E
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!