Mathematics, 20.10.2019 03:30 kellyzeissss1286

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

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Answer from: PrincessAlaia01

The correct answer is:

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).

Answer from: ferrin6507

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 and the terms (3,12,9) are place in group .

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

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

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

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

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

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

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

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

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

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 link

2.A problem to find radius and center of circle link

3.A problem to determine intercepts of a line link

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.

Answer from: Quest

answer: 20

step-by-step explanation:

Answer from: Quest

It equals 1373.5 that’s the solution

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