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
Hunter-Best [27]
3 years ago
11

What's the next number 2 7 8 3 12 9

Mathematics
2 answers:
puteri [66]3 years ago
7 0

The <em>correct answer</em> is:

4.

Explanation:

Taking these numbers as groups of three, we have 2, 7, 8; 3, 12, 9.

In the first group, we can see that we first add 5 and then add 1.

The next group seems to start from the next consecutive number. That is, the first group starts with 2, and the next group starts with 3. The next terms in the second group are found by adding 5 to the second term of the first group (12 = 7+5) and then adding 1 to the third term of the first group (9=8+1); this is because we added 5 and added 1 previously.

Following this pattern, the next group of three would start from the next consecutive number up, 4. The next two terms would be 17 (12+5=17) and 10 (9+1=10).

Liono4ka [1.6K]3 years ago
7 0

The next term of teh sequence 2,7,8,3,12,9 is \fbox{\begin\\\ 4\\\end{minispace}}.

Further explanation:

The sequence given in the question is 2,7,8,3,12,9.

The objective is to obtain the next term of the given sequence.

Group the terms of the given sequence. Consider that two groups are formed such that the terms (2,7,8) are placed in group 1 and the terms (3,12,9) are place in group 2.

\fbox{\begin\\\ Group 1\rightarrow (2,7,8)\\\end{minispace}}

\fbox{\begin\\\ Group 2\rightarrow (3,12,9)\\\end{minispace}}

From the above two groups it is observed that first term of second group is obtained when the first term of group 1 is increased by 1 unit.

\fbox{\begin\\\ 3\rightarrow (2+1)\\\end{minispace}}

From group 1 and group 2 it is observed that the second term of the group 2 is obtained when second term of group 1 is increased by 5 units.

\fbox{\begin\\\ 12\rightarrow (7+5)\\\end{minispace}}

From group 1 and group 2 it is observed that the thirdterm of the group 2 is obtained when thirdterm of group 1 is increased by 1 unit.

\fbox{\begin\\\ 9\rightarrow (8+1)\\\end{minispace}}

Therefore, the relation between the elements of the two groups is given as follows:

\fbox{\begin\\\ (2\rightarrow3) (7\rightarrow12) (8\rightarrow9)\\\end{minispace}}

Now, following the same pattern for the given sequence, the next term of sequence is obtained when the first term of group 2 is increased by 1 unit.

\fbox{\begin\\\ 4\rightarrow (3+1)\\\end{minispace}}

This implies that the next term of the given sequence is 4.

Therefore, the next term of the sequence 2,7,8,3,12,9 is \fbox{\begin\\\ 4\\\end{minispace}}.

Learn more:

1. A problem on greatest integer function brainly.com/question/8243712

2. A problem to find radius and center of circle brainly.com/question/9510228  

3. A problem to determine intercepts of a line brainly.com/question/1332667  

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sequence

Keywords: Series, sequence, logic, (2,7,8,3,12,9), groups, next term, successive term, mathematics, critical thinking, numbers, addition, subtraction, pattern, rule.

You might be interested in
What is an equation of the line that passes through the points (-1, 6) and<br> (-1, –5)?
miskamm [114]

Answer: 11x + 11

Step-by-step explanation:

This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus

y - y₁         y₂ ₋ y₁                           y₂ ₋ y₁

------    =   ----------      or  y ₋ y₁ =    ---------  ˣ  ( x - x₁ )

x - x₁         x₂ ₋ x₁                           x₂ ₋ x₁

Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.

y - 6           -5 - 6       -11             -11

------      =   --------    =  ----      =    -----

x - (-1)         -1 - (-1)      -1 + 1          0

y - 6          -11

------    =    -----

x + 1           0   ,

Now we cross multiply to have a linear equation

0( y - 6 )  =  -11( x + 1 )

0   =   -11x - 11, now multiply by -1

The equation now becomes

11x + 11

   

3 0
3 years ago
During a 12-hour period, the temperature in a city dropped from a high of 60°F to a low of -25°F. What was the range of the temp
dexar [7]
29 because I got it right just kbow
4 0
3 years ago
When testing for current in a cable with eleven color-coded wires, the author used
ddd [48]
Answer:

The number of test required is: 55

Explanation:

Using combination formula:

n!/x!(n-x)!

= 11!/2!(9)!

= 55
6 0
3 years ago
Please help me!! Thank you
mrs_skeptik [129]

Answer:

The area of the circle is 153.86. Plz give me brainliest!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The area of a parallelogram is a equals BH where B is the base and H is the height of the parallelogram what is the area of a pa
trasher [3.6K]
The area of a parallelogram is 100 cm
5 0
3 years ago
Read 2 more answers
Other questions:
  • Carla makes $18.50 per hour. Calculate her earnings for a 30 hour week.
    10·1 answer
  • A map key shows it that every 5 inches on the map represents 200 miles of actual distance suppose the distance between the two c
    6·1 answer
  • I'm not really sure how to fro it, can anyone help me?
    6·1 answer
  • Which questions have an answer of -5?
    14·1 answer
  • 3. Roger runs 8 miles per hour. He ran for h
    14·1 answer
  • Find the greatest common factor of 5n^(3) and 2n^(2)
    9·1 answer
  • Find square. root of 85849.​
    11·1 answer
  • What is center: (-4,-12) Radius: 4 ?
    10·2 answers
  • 7. Of the Americans
    7·1 answer
  • 100 points
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!