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
SashulF [63]
2 years ago
15

Write the explicit formula for the

Mathematics
1 answer:
Phoenix [80]2 years ago
7 0

Answer:

a_n=-10n+150

Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

where m is the slope

So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: a_n=-10n+150 instead.

You might be interested in
Has anyone done this already??
andrey2020 [161]

Answer:

log(4x3y)

Step-by-step explanation:

4 0
3 years ago
Study the pattern. What is the next number in the pattern 678 621 564
garri49 [273]

The pattern rule is minus 57.

564 - 57 = 507.

The answer is 507.

4 0
3 years ago
Read 2 more answers
In an experiment to see if light affected the amount of interaction, one group of students was put in a lighted room for an hour
Ludmilka [50]
The Amount of light. 
8 0
2 years ago
Read 2 more answers
Could someone help me please ​
Alexxx [7]

1. 3x+9-9=18-9      

3x=9

x=3

2. 4x-12=20

4x-12+12=20+12

4x=32

x=8

3. x+0-0

x=0

4. x/2-2+2=9+2

x/2=11

(2)(x/2)=11(2)

x=22

5. 12x-21=3

12x-21+21=3+21

12x=24

x=2

6. 3x-15=18

3x-15+15=18+15

3x=33

x=11

7. 3x-25=14

3x-25+25=14+25

x=13

8. 3x+16=22

3x+16-16=22-16

x=2

9. 2x-8=2

2x-8+8=2+8

2x=10

x=5

10. 9x-18=9

9x-18+18=9+18

9x=27

x=3

11. x+0=0

x=0

12. 9x-8=19

9x-8+8=19+8

9x=27

x=3

If  you want to check my answers

use substitution method by using the x into for each equation.

7 0
2 years ago
Read 2 more answers
2. A triangle has sides of lengths 15, 23, and 28. Is it a right triangle? Explain.
Mashutka [201]
Gvknj h executivesbsinsubs
8 0
2 years ago
Read 2 more answers
Other questions:
  • The number of apples sold at your store on a given day has a bell-shaped normal distribution with a median of 300 apples and a v
    14·1 answer
  • A machine can make 5 miles of ribbon in an hour. Graph the length of the ribbon the machine will make in eight hours. Another ma
    14·1 answer
  • Solve by taking the square too of both sides.<br> 3(c+3)^2-81=0
    10·1 answer
  • Please help me with this question i will mark you as the best answer
    14·2 answers
  • Give an ordered pair on the graph and explain it’s meaning in the real world context.
    11·1 answer
  • Mr.Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr.Sanchez
    5·1 answer
  • 20,880 times 2/5 equals what?
    15·2 answers
  • Cuanto es "Cinco al cuadrado"?
    8·1 answer
  • 0.60 10 000 % = 0.00006% 0 6 X 10-5% ayudemnea resolverlo
    12·1 answer
  • Solve for a. write answers as integers or as a proper or improper fractions in simplest form.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!