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
BabaBlast [244]
3 years ago
13

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

Mathematics
1 answer:
Lana71 [14]3 years ago
7 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
What is 9/10 of 7 inches
PSYCHO15rus [73]
It is equivalent to 16 cm
4 0
2 years ago
(X^3+3x^2-x+8)/(x-1)
ki77a [65]
Here is all of the work:

8 0
3 years ago
The slope is 3/4 and they y-intercept is (0, 4​
Paha777 [63]

Answer:

eqn of line

3x-4y=-16

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Reference angle for -19pi/6? 
kow [346]
\bf \cfrac{19}{6}\implies 3+\cfrac{1}{6}
\\ \quad \\\\
\cfrac{-19\pi }{6}\implies -\left(3\pi +\cfrac{1\pi }{6}  \right)\impliedby clockwise
\\ \quad \\\\
or\implies -\left(2\pi +\pi +\cfrac{\pi }{6}  \right)

go that much "clockwise", you'll end up at the 2nd quadrant,
the reference angle, is its reflective angle on the 1st quadrant

7 0
3 years ago
Choose the correct ordered one
Alik [6]
A. 6-4=2 YES
   12 + 12 = 14 NO
B. 5-3=2 YES
    10+9 = 14 NO
C. 3-1 = 2 YES
    6+3 = 14 NO
D. 4-2= 2 YES
     8+6 = 14 YES
 THE ANSWER IS D
6 0
3 years ago
Read 2 more answers
Other questions:
  • How do u set up the word problem
    10·1 answer
  • 24 times 21 using the area model
    12·1 answer
  • Spiral Review Hayden is attending a craft show. The cost of an admission ticket is $8. The cost of a raffle ticket for a handmad
    14·1 answer
  • Question 5 (Essay Worth 5 points)
    13·1 answer
  • A business executive, transferred from Chicago to Atlanta, needs to sell her house in Chicago quickly. From conversations with h
    6·1 answer
  • If root x+9=root 784, the value of x​
    11·1 answer
  • Plz help me with this question
    15·1 answer
  • What is X equal to if 1X+30=6X+20?
    9·2 answers
  • How does the graph change between point A and point B?
    13·2 answers
  • −9x+2>18 OR 13x+15≤−4 solve for x please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!