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
e-lub [12.9K]
3 years ago
14

two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

a+5(-4) = 40

a-20 = 40

a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

You might be interested in
Please help me with this :)<br>If fake answer, then will be reported!​
arsen [322]

Answer:

10 miles less

Step-by-step explanation:

To get the direct distance first, we use the pythagorean theorem. Distance from Ferris to Butte directly would be the hypotenuse. By solving for the hypotenuse, we have 25 miles. Now the distance used previously is 35 mile. Hence, it (35 - 25 = 10 ) miles less.

3 0
2 years ago
You make 42,500 and your spouse makes 37750 . using the 20% to 25% range , calculate the least and the greatest amount you shoul
Zepler [3.9K]
If you make 42,500 and your spouse makes 37750, then using the 20% to 25% range, the least and the greatest amount you should spend on housing is $50,00. The correct answer to the following given statement above is 50 dollars.
8 0
3 years ago
Which expressions are equivalent to 3 x + 3 * x + y
jasenka [17]

im sorry but i know x=6 if that helps

3 0
3 years ago
Please i need your help
Scrat [10]

Answer:

1. YES, BECAUSE WITH TAX, IT WOULD BE 9.88

2. MOVE THE DECIMAL OVER TO THE LEFT BY ONE PLACE

ANSWER IS 5.356

Step-by-step explanation:

IF TAX IS 13% YOU MULTIPLE 8.75 BY 1.13. YOU GET 1.13 FROM THE ORIGINAL PRICE PLUS .13 IN TAX.

6 0
2 years ago
each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 ft if there are four blades on th
Sunny_sXe [5.5K]

The total area of the blades is the area of a triangle multiplied by 4.

We have then:

A = (4) * (1/2) * (b) * (h)

Where,

b: base of the blades

h: height of the blades

Substituting values we have:

A = (4) * (1/2) * (7) * (4)

Doing the calculation we have that the area of the blades is given by:

A = 56 feet ^ 2

Answer:

The total area of the blades is:

A = 56 feet ^ 2

6 0
3 years ago
Read 2 more answers
Other questions:
  • There were two containers of oil. There was twice as much oil in the second container as in the first one. After using 13 liters
    10·1 answer
  • Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o
    11·1 answer
  • HELLPPP!!! Please
    13·2 answers
  • What is 15 times 15 because I do not know
    10·2 answers
  • I need help please someone help me
    7·1 answer
  • . A 2% solution of acid was mixed with a 12%
    5·1 answer
  • HELP PLEASE
    15·2 answers
  • Object B has a mass of 10kg. Object b collides with another object. If the momentum of object b after collision is 18kg•m/s18kg.
    8·1 answer
  • Please helppppp. geometry hw !!
    10·1 answer
  • Can someone please help !!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!