Question

what comes next in the sequence? -2, 1, 4, __, __, __

Answer 1

i want to say 8,16 24 or it could be 3,2,1 or 4,5,6

Answer 2

Answer:

-2, 1, 4, (4 + d) , (4+d+d) , (4+d+d)

We have to first get the common difference

$d = a _{2} - a_{1} \\ d = 1 - ( - 2) \\ d = 1 + 2\\ d = 3$

Therefore sequence is:

-2, 1, 4, (4 + 3) , (4+3+3) , (4+3+3+3)

Answer: -2, 1, 4, 7 , 10 , 13