All categories

1 month ago

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

Mathematics

2 answers:

Inessa [12.5K]1 month 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]1 month 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

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t

zzz [12365]

Answer:

The solution to this problem indicates that Hernry invested $18,000 in stocks and $6,000 in bonds.

Step-by-step explanation:

First, you need to multiply 6 by 3. The outcome is 18, meaning it is three times higher than the bond amount. Next, subtract $24,000 from $18,000, which gives you $6,000, representing the bond investment. Hence, it is three times less than the stocks as the question describes.

4 0

1 month ago

Read 3 more answers

The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a

Leona [12618]

c Step-by-step explanation: I completed the task.

5 0

16 days ago

Read 2 more answers

For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. Each of those lines is p

zzz [12365]

Response:

D. The sidelines are parallel because they are perpendicular to a common line.

Justification:

According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.

4 0

1 month ago

Read 2 more answers

Llen's score in a video game was changed by −50 points because he missed some targets. He got −10 points for each missed target.

AnnZ [12381]

Llen missed 5 targets, which is due to -50 divided by -10 equaling 5. I hope this clarifies! <3

6 0

16 days ago

Santa Claus is assigning elves to work a shift making toy trucks. Apprentice elves draw a wage of forty candy canes per shift, b

PIT_PIT [12445]

Answer:

link: