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
konstantin123 [22]
3 years ago
10

Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify the formula and reduce a

ny fractions to lowest terms.
a24=83/3 and d=4/3
Mathematics
1 answer:
NemiM [27]3 years ago
6 0

Answer:

an = 4/3n - 13/3.

Step-by-step explanation:

The first term is a1,

a24 = a1 + 23d

83/3 = a1 + 4/3* 23

a1 =    83/3 - 92/3

a1 = -9/3 = -3.

So the nth term an =  -3 + 4/3(n - 1)

an = -3 + 4/3 n - 4/3

an = 4/3n - 13/3

You might be interested in
Retha Davidson works for a word processing center keying straight copy.
Nataliya [291]

Using proportions, it is found that:

  • In an 8-hour day, she keys 48 pages.
  • For a day, her gross earnings are of $72.
  • For a week, her gross earnings are of 72 x 7 = $504.

<h3>Proportions:</h3>

This question is solved using the proportions given, which are:

  • Payment of $1.50 per page of 30 lines.
  • Retha keys 6 pages per hour.

Hence, in an 8-hour day, she keys 6 x 8 = 48 pages.

Since she earns $1.50 per page, for a day, her gross earnings are of 48 x 1.5 = $72.

Considering a week has 7 days, for a week, her gross earnings are of 72 x 7 = $504.

To learn more about proportions, you can take a look at brainly.com/question/24372153

5 0
2 years ago
2(n - 1) + 4n = 2(3n - 1)
Sloan [31]
2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n -2
6n - 2 = 6n - 2 (equal)
6n - 6n = 2 - 2
0 = 0

whatever value you put into the place of n, you'll get 0 = 0
3 0
3 years ago
A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p
Y_Kistochka [10]
For this case, the first thing we should do is use the following equation:
 f (x) = 200 (1.03) ^ x
 We substitute f (x) = 300:
 300 = 200 (1.03) ^ x
 We clear the value of x:
 log1.03 (300/200) = log1.03 ((1.03) ^ x)
 x = log1.03 (300/200)
 x = 13.72
 Answer: 
 the population will first reach 300 in about 13.72 years.
6 0
3 years ago
What is 21/49 in simplist from
ad-work [718]
If you divide 21/49 by 7 you get 3/7
8 0
3 years ago
Selling Price is $2,640 and the Loss is $196. Find the Cost Price.​
myrzilka [38]
If I am correct, it should be $2,736.


if this is a re-sell, then you would have to add the loss to the selling price to get the original cost.

loss means how much was lost in profit, so whenever you see that make sure to add it to whatever is applicable, like in this case, $2,640.
4 0
3 years ago
Other questions:
  • The Red Hook Raiders fundraiser has raised
    7·2 answers
  • Express 960 as a product of prime
    7·1 answer
  • 7 less than a number d
    15·2 answers
  • 136+12x=-4(1-2x) simplify
    6·1 answer
  • Solve for t. 4=12gt^2
    5·1 answer
  • A copy machine makes 133 copies in 4 minutes and 45seconds.how many copies does it make per minute ?
    9·1 answer
  • Prove that:
    15·2 answers
  • What ordered pairs are the solutions of the system of equations shown in the graph below?
    10·1 answer
  • How do i reduce a shape by using the scale factor 2:1
    12·1 answer
  • -
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!