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
A total of 330 children and adults attended a school play. There were 21 times as many children in attendance as there were adul
Pani-rosa [81]

Answer:

15

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help I will mark you as brainliest! Work out the area of shape P!
ozzi
To find the area of a triangle, multiply the height (6) by the base (4) and divide by 2.
- 6 • 4 = 24, 24 / 2 = 12.
The area of this triangle is 12.
7 0
3 years ago
What is the nth term rule of the linear sequence below?
ipn [44]

Answer:

5n-9

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is 6 3/4 times 1 1/2
Neko [114]

Answer:

Fraction form= 81/8   Decimal form= 10.125

Step-by-step explanation:

Simplify the expression

5 0
3 years ago
Read 2 more answers
Question shown in images
Mars2501 [29]
Answer is 2 (answer choice a)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the height of the lamppost to the nearest inch.
    6·1 answer
  • What is the answer to<br> 3x+3y=8<br> -2x+5y=9
    7·1 answer
  • Which is a stretch of an exponential decay function? <br> f(x) = f(x) = (5)x f(x) = 5 f(x) = 5(5)x
    15·2 answers
  • Amy, since you know something about algebra, you can probably help me out with this. what is the value of x in the equation x2 +
    14·1 answer
  • What is the solution to the following equation?
    15·1 answer
  • What does 3(-1/4) equal
    8·2 answers
  • appoint a planning committee with five different members. There are 14 qualified​ candidates, and officers can also serve on the
    7·1 answer
  • 5. Solve each of the following equations for the value of x. Show your work.
    5·1 answer
  • A cube has the width of 6 cm.What is the volume ofcthe cube?
    12·2 answers
  • What is the probability of rolling a 5 on a six sided number cube
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!