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
zlopas [31]
3 years ago
10

Another sequence is defined by a term to term sequence where k and r are constants

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

U(n + 1) = kU(n) + r

_________________________________

n = 1

U(1 + 1) = kU(1) + r

U(2) = k \times U(1) + r

188 = k \times (37) + r

37k + r = 188 \:  \: \:  (( \alpha ))_________________________________

n = 2

U(2 + 1) = kU(2) + r

U(3) = k \times U(2) + r

943 = k \times (188) + r

188k + r = 943 \:  \:  \: (( \beta ))

_________________________________

188k  + r = 943 \:  \: \:  (( \beta ))

37k + r = 188 \:  \:  \: \:  \:  (( \alpha ))

(( \beta )) - (( \alpha )) =

188k - 37k + r - r = 943 - 188 \\

151k = 755

Divide sides by 151

\frac{151k}{151}  =  \frac{755}{151}  \\

k = 5

Put the value of k in one of the equations to find the r :

37k + r = 188

37 \times (5) + r = 188

185 + r = 188

r + 185 = 188

Subtract sides 185

r + 185 - 185 = 188 - 185

r = 3

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

You might be interested in
What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

5 0
3 years ago
A temperature of -3°F is how many degrees below the freezing<br> temperature of water?
Feliz [49]

Answer:

Step-by-step explanation:

6

7 0
3 years ago
The quotient of a number and 2 is -3 ?
Vera_Pavlovna [14]
The answer to this is x/2 = 3.
4 0
3 years ago
Read 2 more answers
Which represents a side length of a square that has an area of 450 square inches?
vovikov84 [41]
<span>I have been a high school/jr high math teacher for the past 13 years. I am happy to explain how to proceed with this problem.
A square is a figure where ALL sides are exactly the same. The find the area of the square you would multiply one side times another side. You would be multiplying a number times itself. So if you already have the area, you would take the square root to find your answer. When you do, you end up with 21.21 square inches rounded to the nearest hundredth.</span>
7 0
3 years ago
Read 2 more answers
What is the domain of the function?
Mazyrski [523]

Answer:     The answer is <em><u>-2</u></em>

Step-by-step explanation:

that is where the line starts

hope this helped

6 0
3 years ago
Read 2 more answers
Other questions:
  • One hundred items are simultaneously put on a life test. Suppose the lifetimes
    9·1 answer
  • Find the range of the relation {(–1, 4), (2, 5), (3, 5)}. Then determine whether the relation is a function.
    7·1 answer
  • #1. Joseph wants to find the side length of a square that has an area of 150
    15·1 answer
  • Six plus five times a number is less than the sum of the number and one.....
    6·1 answer
  • Does the given matrix, A, have an inverse? If it does, what is A-1?
    8·1 answer
  • A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull o
    8·1 answer
  • What is the opposite of 5x2 - 7x+3?
    11·2 answers
  • Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
    12·1 answer
  • Always, sometimes, or never true?
    15·1 answer
  • There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chai
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!