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
Alinara [238K]
3 years ago
7

Write a recursive and an explicit formula to represent the following sequence 52, 40, 28, 16,...

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

Explicit tn = 52 + (n - 1)*(-12)

Recursive = tn = t(n - 1) - 12

Step-by-step explanation:

The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.

t3 = 28

t2 = 40

d = t3 - t2

d = 28 - 40

d = - 12

Explicit

tn = a1 + (n - 1)*d

a1 = 52

d = - 12

tn = 52 + (n - 1)*(-12)

<em><u>Example</u></em>

Find t5

t5 = 52 + (5 - 1)*(-12)

t5 = 52 + 4 * - 12

t5 = 52 - 48

t5 = 4

Recursive

tn = t(n - 1) - 12

<em><u>Example</u></em>

t5 = t4 - 12

t5 = 16 - 12

t5 = 4 just as it did before.

You might be interested in
If Josie runs a 25-mile race in 5 hours and Greta runs a 18-mile race in 4 hours. Who runs at a FASTER pace?
Genrish500 [490]

Answer:

Josie because 25 miles in 5 hours is 5 miles every hour and Greta runs 4.5 miles evry hour

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is x? answer fast please!
Sindrei [870]

Answer:

\Huge \boxed{{x=15\°}}

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

We can create an equation.

x + 165 = 180

Solve for x.

Subtract 165 from both sides.

x + 165 - 165 = 180 - 165

Simplify the equation.

x = 15

6 0
2 years ago
Read 2 more answers
What are the first two steps in solving the radical equation below? X-6+5 = 12 O A. Subtract 5 from both sides and then add 6 to
arlik [135]

Answer:

L speed

Step-by-step explanation:

7 0
2 years ago
What is the square footage of a 16in by 16in tile ​
sveta [45]

Answer:

the square footage is 256in

3 0
2 years ago
The dimensions of rectangle A are four times the dimensions of rectangle B. The area of rectangle B is 162 cm2. What is the area
Anna [14]

Answer:

2,592 square cm.

Step-by-step explanation:

It is given that the dimensions of rectangle A are four times the dimensions of rectangle B.

Let dimensions of rectangle B are l×b.

So, the dimensions of rectangle A are 4l×4b.

Area of rectangle is

Area=length\times width

Area of rectangle B is

A_B=l\times w

The area of rectangle B is 162 square cm.

A_B=l\times w=162

Area of rectangle A is

A_A=4l\times 4w=16(l\times w)=16(162)=2592

Therefore, the area of rectangle A is 2,592 square cm.

3 0
3 years ago
Other questions:
  • What is the converse of the statement given? "If a triangle is equilateral, then it is isosceles." Question 1 options: A triangl
    5·1 answer
  • What is the measure of angle BCD?<br><br> Please helppppp
    15·2 answers
  • A fraction has a fraction in the numerater , denominator,or both
    5·1 answer
  • Please help me on this math question?
    6·1 answer
  • What is the value of k for which the following equation has one solution?<br>|14+ 7x| - 15 = k​
    15·1 answer
  • Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the
    11·2 answers
  • If a polynomial has two factors: It will either have two zeros or the same zero twice.
    6·1 answer
  • The price of an item has risen to $184 today. Yesterday it was $80. Find the percentage increase.
    7·1 answer
  • Which function is represented by the graph below?
    8·1 answer
  • Please help me!!!!!!!!!!!!!!!!!!!!!!!1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!