Algebra 1 aid » Functions and also Lines » order » how to uncover the next term in an arithmetic sequence

In the following arithmetic sequence, what is ? Explanation:

The question states the the succession is arithmetic, which means we discover the next number in the succession by including (or subtracting) a continuous term. We know two that the values, be separated by one unknown value.

You are watching: What is the next number in the sequence below? 10 13 9 14 8

We recognize that is equally far from -1 and from 13; therefore is same to fifty percent the distance in between these two values. The distance in between them have the right to be uncovered by including the absolute values.  The constant in the succession is 7. From there we deserve to go forward or behind to uncover out that .  Given the sequence below, what is the amount of the next three number in the sequence?    Explanation:

By acquisition the difference between two adjacent numbers in the sequence, we can see that the usual difference rises by one every time.     Our following term will certainly fit the equation , an interpretation that the next term must be .

After , the following term will certainly be , definition that the following term need to be .

Finally, after ~ , the following term will certainly be , definition that the following term must be The question asks because that the amount of the next three terms, so now we need to include them together. Explanation:

First, discover a pattern in the sequence. You will notice that every time you move from one number come the very next one, it rises by 7. The is, the difference between one number and also the next is 7. Therefore, us can include 7 come 36 and the an outcome will it is in 43. Thus .

Explanation: Determine what type of sequence you have, i.e. Even if it is the sequence transforms by a consistent difference or a continuous ratio. You can test this by looking at pairs of numbers, but this sequence has actually a consistent difference (arithmetic sequence).  So the sequence breakthroughs by individually 16 every time. Use this to the last provided term. Explanation:

First, uncover the typical difference because that the sequence. Subtract the first term indigenous the 2nd term. Subtract the 2nd term from the third term. Subtract the 3rd term indigenous the fourth term. To find the next value, add to the last offered number. Explanation:

First, find the common difference for the sequence. Subtract the an initial term indigenous the 2nd term. Subtract the second term native the third term. To uncover the next value, add to the last provided number. Explanation:

First, uncover the usual difference because that the sequence. Subtract the first term native the 2nd term. Subtract the second term indigenous the 3rd term. To find the next value, add to the last offered number. Explanation:

First, uncover the common difference for the sequence. Subtract the an initial term native the second term. Subtract the second term from the 3rd term. To discover the following value, add to the last provided number. Explanation:

First, find the usual difference because that the sequence. Subtract the an initial term indigenous the 2nd term. Subtract the 2nd term from the third term. Subtract the third term from the fourth term. To discover the following value, add to the last provided number.

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