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
Elis [28]
2 years ago
7

Here are the first four terms of a sequence.

Mathematics
1 answer:
Nataly_w [17]2 years ago
8 0

Answer:

  • aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

<u>We can compare this with simple quadratic sequence </u>

  • 1, 4, 9, 16

<u>and find out that doubling each term gives us </u>

  • 2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

<u>The first term: </u>

  • a₁ = 4  = 2*1² + 2 = 2*1² + 1 + 1

<u>The second term</u>

  • a₂ = 11  = 2*2² + 3 = 2*2² + 2 + 1

<u>The third term:</u>

  • a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

<u>The fourth term:</u>

  • a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

<u>The nth term as per observation above is:</u>

  • aₙ = 2n² + n + 1
You might be interested in
Help really important
likoan [24]

Answer: Its c

Step-by-step explanation:

Plz give brainliest

8 0
2 years ago
The graph represents the cost y (in dollars) to open an online gaming account and buy x games. Write an equation in slope-interc
Luba_88 [7]

Answer:

y = 10x + 15

Step-by-step explanation:

you pick two points on the line

I picked (3,45) and (6,75)

you subtract the two x’s and y’s

75 - 45 = 30 (30 is the rise) you go up from 45 to 75

6 - 3 = 3 (you move 3 times to the right to get to the 6) so 3 is the run

slope = rise/run so 30/3 = 10

The y-intercept is the place you start on the graph so that is 15

8 0
2 years ago
Read 2 more answers
If you were to graph 1.14, 1.15, and 0.5. what would you count by on your number line?
GREYUIT [131]

If you want to include 0, the overall interval is 115 times 0.01, or 23 times 0.05 or 11.5 times 0.10. The latter might make it harder to plot 1.14, so I'd probably use an interval of 0.05.

Between 6 or 7 and about 25 intervals on a graph's scale are about right. More makes it pretty busy and sometimes difficult to tell which mark is associated with the number. A fewer number is indicated only if there are a fewer number of discrete values that need to be shown to adequately identify the data points.

6 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
Phantasy [73]

Answer:

Step-by-step explanation:

Step1 : Verify Sn is valid for n = 1

6 0
3 years ago
I think i have the right answer but I don’t know how to show my work/explanation, please help! *GRADE 9 WORK*
IrinaK [193]

Answer:

5 boys

Step-by-step explanation:

boys to girls in math class = 3/12

3/12 can be reduced to 1/4

In the science class, the ratio is the same but there is a total of 20 girls.

Multiply the fraction 1/4 by 2/2, 3/3, 4/4, 5/5, etc. until you get x/20. Then you have 20 girls. x is the number of boys.

1/4 = 2/8 = 3/12 = 4/16 = 5/20

In science the ratio of 1/4 is the same as 5/20, so there are 5 boys.

Answer: 5 boys

4 0
3 years ago
Other questions:
  • What is the nth term for 1 7 15 25 37
    15·1 answer
  • Difference of squares: What is x^2-9=0? <br>please help me....​
    13·2 answers
  • Please help how do I get this answer ?
    8·2 answers
  • Identify the slope and y-intercept for each linear function's equation.
    8·1 answer
  • Sheree drew this model of a tent. It is in the shape of a triangular prism. How many square inches of fabric are needed to make
    7·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    9·1 answer
  • What is the solution to 4m+5&lt;-2m-1?
    9·1 answer
  • 5 rubber stamps cost $9.70.
    8·1 answer
  • A car is 180 inches long. a truck is 75 percent longer than thr car. how long is the truck
    5·2 answers
  • 1. Write 2 expressions that is equivalent to double (3x+4y)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!