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
Mice21 [21]
3 years ago
7

What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 3?

Mathematics
2 answers:
meriva3 years ago
3 0
Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number

In this case a=5, and d=-2 so

a(n)=5-2(n-1)  which can be simplified...

a(n)=5-2n+2

a(n)=7-2n

The domain is restricted to integers from 1 to +oo.
sveticcg [70]3 years ago
3 0

Answer:

  1. a_n=7-2n
  2. All positive integers greater than 1 will be its domain.

Step-by-step explanation:

The explicit equation for an arithmetic sequence is,

a_n=a_1+(n-1)d

Where,

a_n = nth term in the arithmetic sequence,

a_1 = 1st term in the arithmetic sequence,

d = common difference.

Here, the first term of 5 and a second term of 3. So the common difference is -2.

Putting the values,

a_n=5+(n-1)(-2)=5+2-2n

i.e a_n=7-2n

As n neither be negative nor fraction, because it is the number of term, so all positive integers greater than 1 will be its domain.

You might be interested in
Solve for the following equation<br>6Y+4 = 4y-2​
Ugo [173]

Answer:

y = -3

Step-by-step explanation:

6y +4 = 4y- 2

2y= -6

y= -3

pls Mark as brainliest

4 0
2 years ago
Read 2 more answers
108 = -2(-5 - 7b) What does b equal?
mario62 [17]

Answer:

b = 7

Step-by-step explanation:

108 = -2(-5 - 7b)

Distribute -2 to the terms inside the parenthesis:

108 = 10 + 14b

Subtract 10 from both sides of the equation to isolate 14b:

108 - 10 = 10 + 14b - 10

98 = 14b

Divide 14 on both sides of the equation to solve for b:

\frac{98}{14}  = \frac{14b}{14}

7 = b

6 0
2 years ago
2/7 = 4/5 + 1/7 q answe for q
Alchen [17]

Answer:

??

Step-by-step explanation:

7 0
3 years ago
An athlete earns $350,000 each year. If his team makes the play-offs, he will earn a 15% bonus. What will be his total earnings
Komok [63]
15% of $350,000 is $52,500. so you add $52,500 to $350,000 and you get $402,500
4 0
3 years ago
Each figure shows a triangle with one of its angle bisectors.<br> 12) 22 - 38°. Find mZTRS.
jarptica [38.1K]

Answer:

76 degrees

Step-by-step explanation:

this special line is an angle bisected.

that means it splits the angle at its starting point in 2 halves. as these names indicate, both parts are of equal size (half of the general angle).

we know one part (2) of this split angle : 38 degrees.

the other part (1) had to be equally sized : 38 degrees.

so, the total angle at point R is the sum of both split angles:

TRS = 38+38 = 76 degrees.

3 0
3 years ago
Other questions:
  • The line that goes through the point (5,-2) and (8,4)
    10·1 answer
  • A circle is inscribed in a square. Each side of the square is 10 centimeters long.
    5·1 answer
  • Canada has a population that is about 1/10 as large as the united states if canadas population is about 32 million how many peop
    10·1 answer
  • Y+12=-50<br><br> ASAP help<br><br> PLEASE!!
    11·2 answers
  • What is <br> A= 3000(1+.036/12)^72<br> Algebra 2 compound interest
    10·1 answer
  • I need help asap :):):)
    10·2 answers
  • Calculate the perimeter for the given figure.
    13·1 answer
  • 50 POINTS
    8·2 answers
  • Please help me <br> Will give you brainly
    6·2 answers
  • ASAP NOW! PLSS! I WILL MARK 5 STARS! PLSSS! thank you!! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had op
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!