What is the next number of 2 7 8 3 12 9

Answer with Step-by-step explanation:

We are given a pattern  

2 7 8 3 12 9

and we are asked to find the next term of this pattern

2+1=3

7+5=12

and 8+1=9

We can view this pattern in the set of three numbers and then, the next three are formed by  adding one, five & one, respectively.

See these COLUMNS of groups of three:

2  3   4

7 12 17

8  9  10

Hence, next number in the pattern is:

4

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.