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
BaLLatris [955]
3 years ago
9

Sequence: 13, 11, 9, 7, .. an = an-1 a1 =​

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

a

n

=

−

2

n

+

15

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

−

2

to the previous term in the sequence gives the next term. In other words,

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:

d

=

−

2

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of

a

1

=

13

and

d

=

−

2

.

a

n

=

13

+

(

−

2

)

(

n

−

1

)

Simplify each term.

Tap for more steps...

a

n

=

13

−

2

n

+

2

Add

13

and

2

.

a

n

=

−

2

n

+

15

You might be interested in
What is the explicit formula for this sequence?
ddd [48]

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

6 0
4 years ago
A caterer is preparing a dinner for a party. Shecharges an initial fee of $16 and $8.25 per person. How manypeople can attend a
Dafna1 [17]

Answer:

The nomber of people can attend a dinner that costs $131. 50 is 14.

Step-by-step explanation:

With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:

c=16+8.25x, where:

c is the total cost of he dinner

x is the number of people

Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:

131.50=16+8.25x

131.50-16=8.25x

115.50=8.25x

x=115.50/8.25

x=14

According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.

7 0
3 years ago
Evaluate the expression for w = -1.<br> -6W2 + 13w + 21 =<br> Submit
skelet666 [1.2K]

Answer:

2

Step-by-step explanation:

In this case, you have to substitute the w for -1, and then do the operation:

-6( -1 )^2 + 13( -1 ) + 21

-6( 1 ) - 13 +21

-6 -13 + 21

-19 + 21

2

6 0
3 years ago
Least to greatest number 66 and 67
steposvetlana [31]
66.) .... 1/6 > 1/5 > 1/4 > 1/3 > 1/2
6 0
3 years ago
Read 2 more answers
I need help. And could you explain to me as well
Dmitry [639]

It is the third one out of all 4

3 0
3 years ago
Read 2 more answers
Other questions:
  • Someone pls help me I'm stuck on this question!!!!????
    9·1 answer
  • What is the solution to the rational expression x/2x+1 +1/4 = 2/2x+1
    12·2 answers
  • If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2
    15·1 answer
  • Which of the equations below represents a line perpendicular to the yaxis?
    8·2 answers
  • Plz help me I you can♡︎
    8·2 answers
  • What are the solutions to the quadratic equation 4(x + 2)2 = 36
    10·1 answer
  • Below is the number of years that each of the nine Omar's Omelette Operation locations have been open.
    15·1 answer
  • Question 5 :)) What is the measure of the missing angle?​
    12·1 answer
  • Pls help! I am already getting behind in this semester. And the semester just started. I am really worried the imma fail the sem
    15·2 answers
  • In parallelogram WXYZ, with diagonal XZ, m∠WXZ = 81° and m∠WZX = 28°. What is the measure of ∠XYZ?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!