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31 votes
What is the next term of the arithmetic sequence?
2,-1,-4, -7, -10,

User TallChuck
by
2.4k points

2 Answers

27 votes
27 votes

Answer: -13

Explanation:

Concept:

Here, we need to know how arithmetic sequences work.

An arithmetic sequence is a sequence or progression of numbers where the difference between each number is the same (or constant).

In simple words, you add or subtract the same number to get the next term in the sequence.

Solve:

{2, -1, -4, -7, -10}

2 - (-1) = 3

-1 - (-4) = 3

-4 - (-7) = 3

-7 - (-10) = 3

As we can see from above, the constant between the sequence is subtraction 3 or -3.

Therefore, in order to get the next term, we subtract 3 from the last term given.

-10 - 3 = -13

Hope this helps!! :)

Please let me know if you have any questions

User Mostsquares
by
2.7k points
15 votes
15 votes

Answer:

-13 is the answer.

here -3 is added every time

User Jay Kreps
by
3.1k points