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
Mnenie [13.5K]
3 years ago
14

Given the sequence 38, 32, 26, 20, 14, ..., find the explicit formula.

Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0

Answer:

The explicit formula for the sequence is

<h2>44 - 6n</h2>

Step-by-step explanation:

The above sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 38

d = 32 - 38 = - 6 or 20 - 26 = - 6 or

14 - 20 = - 6

So the formula for the sequence is

A(n) = 38 + ( n - 1)-6

= 38 - 6n + 6

We have the final answer as

<h3>A(n) = 44 - 6n</h3>

Hope this helps you

bogdanovich [222]3 years ago
4 0

Answer:

\huge\boxed{a_n=-6n+44}

Step-by-step explanation:

This is an arithmetic sequence:

32 - 38 = -6

26 - 32 = -6

20 - 26 = -6

14 - 20 = -6

The common difference d = -6.

The explicit formula of an arithmetic formula:

a_n=a_1+(n-1)(d)

Substitute:

a_1=38;\ d=-6

a_n=38+(n-1)(-6)         <em>use the distributive property</em>

a_n=38+(n)(-6)+(-1)(-6)\\\\a_n=38-6n+6\\\\a_n=-6n+(38+6)\\\\a_n=-6n+44

You might be interested in
Is this a function? yes or no <br><br><br> picture included ^^^^
aliya0001 [1]

Answer:

Yes this is a function because when doing the straight line test it doesn't touch it two or more times.

8 0
2 years ago
Suppose a student reaches in the bag and randomly selects nine red chips and eleven yellow chips. Based on this sample, what is
nataly862011 [7]

Answer:

There are more boys than girls. The red chips are girls are the boy are the yellow chips.  If more yellow chips were pulled out then there are more boys. 11 + 9 = 2. 10 + 9 = 19 + 1 = 20. The fraction of how many boys there are would be 11/21 and the fraction for girls would be 9/21.  Also 11 x 9 = 99. There would be 99 people if you times the number of girls and boys. But it's best to add because it would be in the smaller form if you were to times it.

7 0
2 years ago
Which graph represents this function f(x)=1/2x-5
Readme [11.4K]

Answer:

The first graph(Left)

Step-by-step explanation:

Because in this form 1/2 is the slope and -5 is the y intercept.

7 0
2 years ago
Read 2 more answers
ZE is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector
frozen [14]

Answer:

Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.

Step-by-step explanation:

A is the intersection of angle bisectors, so is the incenter of triangle EFG. It is also the intersection of the perpendicular bisectors of the sides of triangle EFG, so is the circumcenter.

The altitudes at X, Y, and Z are perpendicular to sides EF, EG, and FG, and pass through the incenter, so X, Y, Z are points on the incircle.

A is the center of circles through E, F, and G, and through X, Y, and Z.

6 0
3 years ago
Read 2 more answers
To solve this question you have to use TAN COS SIN i give brainiest
ElenaW [278]

Answer:

  • 4.3

Step-by-step explanation:

<u>Use cosine:</u>

  • cos = adjacent / hypotenuse
  • cos ∠L = KL/JL
  • cos 21° = 4/x
  • x = 4 / cos 21°
  • x = 4.3 (rounded)
7 0
2 years ago
Read 2 more answers
Other questions:
  • Sameer earned $96 in 8 hours. His brother, Amen, earned $132 in 12 hours
    13·2 answers
  • Give a mixed number or fraction that is equivalent to 32.029.
    11·1 answer
  • A runner incregses
    11·1 answer
  • Solve the following quadratic equation. A. x = 19 and x = 17 B. x = -19 and x = -17 C. x = -19 and x = 17 D. x = 19 and x = -17
    10·1 answer
  • The supplement of an angle is 10 more than twice the complement of the angle. find the angle.
    12·1 answer
  • What is the justification for step 3 in the solution process?
    13·1 answer
  • a group of five friends are sharing two of trail mix. write a division problem and a fraction to represent the situation.
    13·2 answers
  • Someone please help please
    11·2 answers
  • HELP<br> Factor<br> 6x^2+10x-4
    15·1 answer
  • A space ship travels at 24 miles per hour and traveled for 28 hours.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!