answer.
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
inn
3 months ago
11

Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______

Mathematics
2 answers:
Inessa [12.5K]3 months ago
7 0

Given sequence;

1, 4, 11, 26, 57, 120, _

The missing term  =?

Solution;

To identify the connection between each term, we can determine the missing value;

      1, 4, 11, 26, 57, 120, _;

 let’s start with the first two;

       3 x 2 + 1  = 7 + 4  = 11

       7 x 2 + 1  =  15 + 11 = 26

       15 x 2 + 1 = 31 + 26 = 57

       31 x 2 + 1 = 63 + 57 = 120

       63 x 2 + 1 = 127  + 120 = 247

   

        From this pattern, we conclude that the missing term is 247

babunello [11.8K]3 months ago
5 0

Answer:

247

Step-by-step explanation:

1, 4, 11, 26, 57, 120. The emerging pattern of the series is as follows:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

Thus, the next number should be 64+63 = 127+120 = 247.

Verification: 247–120 = 127; 127–63 = 64 = 2^6, which checks out.

So, the following number is indeed 247. 2^n+(n-1)

You might be interested in
Regular Hexagon ABCDEF rotates 240' counterclockwise about its center to produce hexagon A'B'C'D'E'F'. Which points will A' and
zzz [12365]
A' aligns with C and B' aligns with D.
5 0
2 months ago
Read 2 more answers
In Oscars monthly budget each category is Assigned a certain percentage of his monthly income Oscars monthly income is $2250
zzz [12365]
I can say with certainty that my answer is correct. Oscar allocates $485 from his monthly income for telephone, utilities, and emergencies. I hope this information is useful. Also, could you please consider marking me as brainliest?
3 0
2 months ago
Read 2 more answers
Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. If 40 people attend the play an
AnnZ [12381]
There were 30 adults and 10 children, totaling 40 attendees. Just sum them together.
3 0
2 months ago
Ill give a tip
PIT_PIT [12445]
To calculate the monthly interest, take the APR and divide it by 360, then multiply the result by 30 days. Typically, each loan is backed by the vehicle that was purchased, hence we will utilize the secured APR.

8. For an average secured APR of 5.85%, the calculation is: 5.85% divided by 360 multiplied by 30 gives a monthly rate of 0.4875%.
The vehicle cost is 19,725; with a sales tax of 4.75% and a down payment of 2,175.

19,725 multiplied by 1.0475 results in 20,661.94, and after subtracting the down payment, the loan amount is 18,486.94.
To find the accrued interest for the first month: 18,486.94 multiplied by 0.4875% equals 90.12.

9. An excellent secured APR of 4.80% results in a monthly rate of 0.40% when 4.80% is divided by 360 and multiplied by 30.
Price of a different vehicle: 15,867; a sales tax of 5.25%; down payment equals 10% of the total.

Calculating, 15,867 multiplied by 1.0525 gives 16,700.02; taking 90% results in a principal balance of 15,030.02 at the loan's beginning.

10. For a fair secured APR at 7%, dividing by 360 and multiplying by 30 provides a monthly rate of 0.5833%.
Cost of a new vehicle is 19,072; sales tax stands at 4.5%; down payment of 1,200.
Cost for a used vehicle is 15,365; same tax and down payment as the new one.

Calculating for new: 19,072 multiplied by 1.045 results in 19,930.24, with down payment deducted gives 18,730.24.
Accrued interest for new is 18,730.24 multiplied by 0.5833% equating to 109.25.

For the used vehicle: 15,365 multiplied by 1.045 results in 16,056.43, then down payment leaves 14,856.43.
Accrued interest here is 14,856.43 multiplied by 0.5833% equaling 86.66.

The difference in interest accrued by the first month's end is 109.25 minus 86.66, which is 22.59.
7 0
2 months ago
Other questions:
  • Suppose you deposit $2000 in a bank account that has a doubling time of 19 years. To the nearest $100, what will your balance be
    10·2 answers
  • The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre
    13·1 answer
  • Given data for different baseball teams’ number of home runs and wins for the past season, how would you find the equation of th
    13·2 answers
  • Tia shares 53 balloons equally among 4 children. How many balloons will be left over?
    13·1 answer
  • If m ACB =(11x-32),find the value of x
    14·1 answer
  • What is the solution to the system of equations graphed below?
    12·2 answers
  • In what line do planes A and QRV intersect?
    11·1 answer
  • You can walk 4.4 feet per second. how many minutes will it take you to get to room 117?
    11·1 answer
  • 746.258 as an equivalent expression
    5·2 answers
  • Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!