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
Alex is 12 years older than George. Carl is Three times older than Alex The sum of their ages is 68 Find the ratio of George’s a
earnstyle [38]

Ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

<em><u>Solution:</u></em>

Let "a" be the age of Alex

Let "g" be the age of George

Let "c" be the age of Carl

<em><u>Alex is 12 years older than George</u></em>

Therefore,

Age of Alex = 12 + Age of George

a = 12 + g

g = a - 12 ---- eqn 1

<em><u>Carl is Three times older than Alex</u></em>

Age of Carl = 3 x Age of Alex

c = 3a -------- eqn 2

<em><u>The sum of their ages is 68</u></em>

age of Alex + age of George + age of Carl = 68

a + g + c = 68 ----------- eqn 3

<em><u>Substitute eqn 1 and eqn 2 in eqn 3</u></em>

a + a - 12 + 3a = 68

5a - 12 = 68

5a = 12 + 68

5a = 80

a = 16

<em><u>Substitute a = 16 in eqn 2</u></em>

c = 3(16) = 48

c = 48

<em><u>Substitute a = 16 in eqn 1</u></em>

g = 16 - 12 = 4

g = 4

<em><u>Find the ratio of George’s age to Carl’s age to Alex’s age</u></em>

Ratio of George’s age to Carl’s age to Alex’s age = g : c : a

g : c : a = 4 : 48 : 16

Divide the above ratio by 4 to reduce to lowest terms

g : c : a - 1 : 12 : 4

Thus ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

6 0
3 years ago
What is the place value of the number 8 in the number 814,295
VLD [36.1K]
The place value is a hundred thousand, as there are 5 digits following the eight.
3 0
3 years ago
Lars deposited $50 into a savings account for which interest is compounded quarterly. According to the rule of 72, what interest
Ivanshal [37]

Answer: C 2.5%


Step-by-step explanation:

The "Rule of 72" is a easy way to calculate how much time an investment will take to double with a given fixed annual rate of interest.

Just we have to divide 72 by the annual rate of return(r), we can get a rough estimate of how many years it will take to double the initial investment .

Now, in given problem: Let 'r' be the rate of interest

Time to double the amount=29 years

Thus by rule 72 ,

\frac{72}{r}=29\\\Rightarrow\ r=\frac{72}{29}=2.4827\%\approx2.5\%

Therefore, C is the right option.


3 0
3 years ago
Read 2 more answers
What value does the 8 represent in the number 865,202 ?
Lina20 [59]

The value of 8 is 800,000.

4 0
2 years ago
Read 2 more answers
Answer CORRECTLY !!!!! Will mark brainliest !!!!
mash [69]

Answer:

g(q) = \frac{5q}{8}

Step-by-step explanation:

Given

- 7q + 12r = 3q - 4r

Rearrange making r the subject

Add 7q to both sides

12r = 10q - 4r ( add 4r to both sides )

16r = 10q ( divide both sides by 16 )

r = \frac{10q}{16} = \frac{5q}{8} , thus

g(q) = \frac{5q}{8}

4 0
3 years ago
Read 2 more answers
Other questions:
  • 3x + 15 - 2× + 10 + × + 5​
    13·1 answer
  • Consider that lines a and b are parallel. What is the measurement of ∠12?
    13·1 answer
  • Determine the image of the point (1, 5) under a rotation of 180° about the origin
    14·1 answer
  • Which of the following is equivalent to the expression (3ab)(-5ab)?
    14·1 answer
  • -4.2x=21 what does x mean PLEASE
    14·2 answers
  • Plz solve this pic fast and correctly!!!
    14·1 answer
  • Which of these leg lengths on a right triangle would create a hypotenuse length of √13?
    5·1 answer
  • WHAT TIME IS A QUARTER TO SIX?
    7·2 answers
  • Name each part below using 14(x)^13<br> a. base?<br> b.power?<br> c.exponent?<br> d.coefficient?
    10·1 answer
  • If S.P. = Rs 450, S.P. with VAT = Rs 495, find vat percent​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!