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
aleksandrvk [35]
1 year ago
14

B. What are the second and third terms of this arithmetic sequence? 80, 페, 페, 125,...........

Mathematics
1 answer:
nataly862011 [7]1 year ago
8 0

The 2nd and 3rd term of an AP is found to be (a₂ = 95) and (a₃ = 110).

<h3>What is the sequence of AP arithmetic progression?</h3>

In Arithmetic Progression, the difference between the two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.

We'd come across a few key concepts in AP that had been labeled as:

  • The first term (a)
  • Common difference (d)
  • Term nth (an)
  • The total of first n terms (Sn)

As shown below, the AP can also be referred to in terms of common differences.

  • The following is the procedure for evaluating an AP's n-th term:  an = a + (n − 1) × d
  • The arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].
  • Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ......      = an - an-1.

Now, the given sequence is; 80, _, _, 125.

The series comprises of four given terms.

Let the first term be 'a₁' = 180.

The second term be 'a₂'.

The third term be 'a₃'.

And, the fourth term is 'a₄' = 125.

Use the nth term formula to find the common difference 'd'.

n-th term:  an = a + (n − 1) × d

a₄ = a + (n - 1)d

125 = 80 + (4 - 1)d

45 = 3d

d = 15

Thus, the common difference is 15.

The second term is calculated as;

a₂ = a₁ + d

a₂ = 80 + 15

a₂ = 95.

The third term is estimated as;

a₃ = a₂ + d

a₃ = 95 = 15

a₃ = 110

Therefore, the 2nd and third term of an AP is computed as 95 and 110.

To know more about Arithmetic Sequence, here

brainly.com/question/24989563

#SPJ4

You might be interested in
Need help with this problem​
klio [65]

Answer:

Step-by-step explanation:

the answer is C     (i think)

hope it helped

7 0
2 years ago
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12
miskamm [114]

keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?

\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)

\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4

3 0
3 years ago
Of a government by whom money is paid to support services​
zloy xaker [14]

Answer:

um what kinda question is this?

Step-by-step explanation:

5 0
3 years ago
6th out of 10 questions
Vlad [161]

The answer is D

To solve the answer you would have needed to multiply the reciprocal of \frac{2}{7} but in this case, Unvi multiplied with the reciprocal of 14.

8 0
2 years ago
Please help me. Brainliest to best answer!
Bingel [31]

Answer:

4y + 48 - 16x = 0        ~Solve for y~

4y = -48 + 16x

y = -12 + 4x

The slope is 4.

We'll use the point (1, 4) and m = 4.

Plug these into the equation: y - y1 = m(x - x1)

y - 4 = 4(x - 1)

y - 4 = 4x - 4

y = 4x 

6 0
2 years ago
Other questions:
  • Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is
    7·1 answer
  • For questions 4–5, simplify the expression.
    5·1 answer
  • Find the probability of drawing an 8 and then a queen (with replacement) from a standard deck of cards
    15·2 answers
  • Through: (5,5), slope =8/5
    12·1 answer
  • Which expression is equal to 72?
    12·1 answer
  • Pls help ASAP!I will mark u brainliest, and pls answer correctly or I will report u
    8·1 answer
  • Can ya'll help me pls
    15·1 answer
  • Which is the BEST estimate of the quotient of 149 divided by 33?
    10·1 answer
  • A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?
    11·1 answer
  • The total amount of money in Penny's bank account can be represented 1 point
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!