SOLUTION: Find the next three terms in: -14, -10, -6, -2

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Question 1185490: Find the next three terms in: -14, -10, -6, -2
Found 3 solutions by MathLover1, MathTherapy, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
-14,+-10, -6, -2
the difference between each term is d=4
a%5Bn%5D=a%5B1%5D%2Bd%28n-1%29
first term is a%5B1%5D=-14
a%5Bn%5D=-14%2B4%28n-1%29-> nth term formula
next term is a%5B5%5D-> n=5
a%5B5%5D=-14%2B4%285-1%29
a%5B5%5D=-14%2B4%284%29
a%5B5%5D=-14%2B16
a%5B5%5D=2

-14,+-10, -6, -2, 2

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Find the next three terms in: -14, -10, -6, -2
Common difference (d) of this sequence: + 4, so: 

Do you think you can now find the 7th term?

That's all there is to this problem. NOTHING more, NOTHING less!

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


It is impossible to know the "correct" answer to the problem as presented.

It is clear that there is a common difference between the given terms of the sequence, so it MIGHT BE that there is that same common difference in ALL the terms of the sequence.

But, as the problem is presented, it is impossible to know ANY subsequent terms of the sequence; ANY subsequent numbers would make a valid sequence.

If the only correct answer to the problem is that the next three terms are 2, 6, and 10, then the statement of the problem MUST specify that the sequence is an arithmetic sequence.