Algebra 1 Help » Functions and Lines » Sequences » How to discover the next term in an arithmetic sequence

In the complying with arithmetic sequence, what is 

*
?

*


Explanation:

The question says that the sequence is arithmetic, which implies we discover the next number in the sequence by adding (or subtracting) a continuous term. We know 2 of the worths, separated by one unknown worth.

You are watching: Find the next two terms in the sequence 2 6, 10 14

We understand that 

*
 is equally far from -1 and also from 13; therefore 
*
 is equal to half the distance between these 2 worths. The distance in between them deserve to be uncovered by including the absolute worths.

*

*

The constant in the sequence is 7. From tbelow we can go forward or backward to find out that 

*
.

*

*


Given the sequence listed below, what is the amount of the following 3 numbers in the sequence?

*


*


*


*


Explanation:

By taking the distinction in between 2 nearby numbers in the sequence, we can view that the widespread difference increases by one each time.

*

*

*

*

*

Our following term will certainly fit the equation

*
, interpretation that the following term have to be
*
.

After

*
, the following term will be
*
, meaning that the next term need to be 
*
.

Finally, after

*
, the next term will certainly be
*
, interpretation that the next term must be
*

The question asks for the sum of the next three terms, so now we need to add them together.

*


Explanation:

First, find a pattern in the sequence. You will notification that each time you relocate from one number to the exceptionally next one, it increases by 7. That is, the difference between one number and also the following is 7. As such, we have the right to add 7 to 36 and also the result will be 43. Thus

*
.


Explanation:

*

Determine what type of sequence you have, i.e. whether the sequence transforms by a constant difference or a constant ratio. You have the right to test this by looking at pairs of numbers, however this sequence has a continuous difference (arithmetic sequence).

*

*

So the sequence breakthroughs by subtracting 16 each time. Apply this to the last given term.

*


Explanation:

First, discover the widespread difference for the sequence. Subtract the initially term from the second term.

*

Subtract the second term from the 3rd term.

*

Subtract the 3rd term from the fourth term.

*

To uncover the following value, add 

*
 to the last given number.

*


Explanation:

First, discover the common distinction for the sequence. Subtract the first term from the second term.

*

Subtract the second term from the 3rd term.

*

To discover the next value, add 

*
 to the last given number.

*


Explanation:

First, discover the common difference for the sequence. Subtract the initially term from the second term.

*

Subtract the second term from the 3rd term.

*

To find the following worth, add 

*
 to the last offered number.

*


Explanation:

First, uncover the common difference for the sequence. Subtract the initially term from the second term.

*

Subtract the second term from the 3rd term.

*

To find the next value, add 

*
 to the last offered number.

*


Explanation:

First, find the widespread difference for the sequence. Subtract the initially term from the second term.

*

Subtract the second term from the third term.

*

Subtract the 3rd term from the fourth term.

*

To uncover the next value, add 

*
 to the last provided number.

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*


College of Minnesota-Twin Cities, Bachelor of Engineering, Electrical Engineering. University of Minnesota-Twin Cities, Do...
UNC Chapel Hill, Bachelor of Science, Physics. College of VA Charlottesville, Doctor of Philosophy, Physics.
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