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
Sav [38]
1 year ago
5

If the first and the last term of an arithmetic progression, with common difference

Mathematics
1 answer:
devlian [24]1 year ago
3 0

The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.

<h3>What is the nth term of an arithmetic sequence?</h3>

The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

First term a1 = 1\frac{1}{2} = 3/2

Last term an = 2\frac{1}{2} = 5/2

Common difference d = 1/9

From the general formula,

an = a1 + (n - 1)d

On substituting,

5/2 = 3/2 + (n - 1)1/9

⇒ (n - 1)1/9 = 5/2 - 3/2

⇒ (n - 1)1/9 = 1

⇒ n - 1 = 9

⇒ n = 9 + 1

∴ n = 10

Thus, there are 10 terms in the given arithmetic sequence.

learn more about the arithmetic sequence here:

brainly.com/question/503167

#SPJ1

Disclaimer: The given question in the portal is incorrect. Here is the correct question.

Question: If the first and the last term of an arithmetic progression with a common difference are 1\frac{1}{2}, 2\frac{1}{2} and 1/9 respectively, how many terms has the sequence?

You might be interested in
A ladder is leaning against a building as shown in the
JulsSmile [24]

The length of ladder is 30 ft.

<h3>How can the feet that made up the side of the building is the top of the ladder be known ?</h3>

The formula below can be used in solving the problem

Tan (∅)= \frac{opposite}{adajacent}

∅=70°

opposite = BC

Adjacent  = 12 ft

70°= opposite/ 12

opposite= 32.96 ft

Therefore, The length of ladder is 30 ft.

NOTE; Since the actual diagram can not be found i solved another on on the same topic

Learn more about Trigonometry on:

brainly.com/question/7380655

#SPJ1

CHECK COMPLETE QUESTION BELOW:

Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)

a. 25ft

b. 30ft

c. 35ft

d. 40ft

5 0
2 years ago
What is the measure of <br> A. Cannot be determined <br> B. 74<br> C. 16<br> D. 32
Levart [38]
The answer would be D. 32

Why? The triangle in the problem is an isosceles triangle. That means the two legs of the triangle are equal and the angle opposite to the equal legs are also equal. 

Therefore, angle C is also 74°. 

The sum of the interior angles of a triangle is equal to 180°.
Thus, 
      180° = ∡A + ∡B + ∡C
      180° = 74° + ∡B + 74°
      180° = 148° + ∡B
        ∡B = 180° - 148°
        ∡B = 32°
3 0
3 years ago
Y=-x^2-10x-16 on graph
lana [24]

Answer:

It is a Non-Linear graph:

8 0
3 years ago
I need help I can't figure out how to do this. I have to find the value of v. 4/5(v−7)=2
Nina [5.8K]
9.5 because 9.5-7 is 2.5. 2.5 times 4/5 is 10/5 which is equivalent to 2. 4/5(2.5-7)=2
7 0
3 years ago
Need help ASAP! Brainliest will be marked for right answer!
choli [55]

Answer:

33^2

Step-by-step explanation:

3 x 5= 15

15+18=33

33^2 because there is two triangles your adding to get the answer

8 0
3 years ago
Other questions:
  • I not sure how to do B of this question
    6·1 answer
  • A shoemaker makes three new souls every four minutes another shoemaker made to souls every three minutes what was the difference
    7·1 answer
  • For the lines defined by the following equations indicate with a "V" if they are vertical, an "H" if they are horizontal, and an
    7·1 answer
  • What is 68% of 118<br> Show work
    5·2 answers
  • Product of (5 + a) and ( -5 + a ) is ......​
    7·1 answer
  • ILL GIVE BRAINLIEST!!!!!!<br><br> Please explain!! Thank youuuuu!
    12·2 answers
  • I need the answer fast pls
    9·1 answer
  • You have $225 in your savings account. If you deposit $50 per month into your savings
    11·2 answers
  • BRAINLIEST!!!!
    6·1 answer
  • the length of a cell is 2/3 mm. If the area of the cell is 1/12 square mm, whtat is the width of the cell
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!