Algebra 1 help » Functions and Lines » order » how to find the following term in an arithmetic succession

In the adhering to arithmetic sequence, what is 

*
?

*


Explanation:

The inquiry states that the succession is arithmetic, which way we discover the next number in the succession by adding (or subtracting) a continuous term. We understand two that the values, be separated by one unknown value.

You are watching: What is the next number in this sequence? 41 29 35 23

We know that 

*
 is equally far from -1 and from 13; therefore 
*
 is equal to fifty percent the distance between these 2 values. The distance in between them deserve to be uncovered by adding the absolute values.

*

*

The constant in the sequence is 7. From there we deserve to go forward or behind to find out that 

*
.

*

*


Given the succession below, what is the sum of the following three number in the sequence?

*


*


*


*


Explanation:

By taking the difference between two nearby numbers in the sequence, we have the right to see the the common difference rises by one every time.

*

*

*

*

*

Our following term will fit the equation

*
, definition that the following term must be
*
.

After

*
, the next term will be
*
, meaning that the next term must be 
*
.

Finally, after ~

*
, the next term will certainly be
*
, an interpretation that the following term should be
*

The question asks for the amount of the following three terms, so currently we require to include them together.

*


Explanation:

First, find a pattern in the sequence. Friend will notification that each time you move from one number come the really next one, it increases by 7. That is, the difference between one number and also the next is 7. Therefore, we can include 7 to 36 and the result will it is in 43. For this reason

*
.


Explanation:

*

Determine what type of sequence you have, i.e. Even if it is the sequence changes by a constant difference or a consistent ratio. You deserve to test this by feather at bag of numbers, however this sequence has a consistent difference (arithmetic sequence).

*

*

So the sequence advances by subtracting 16 every time. Apply this come the last provided term.

*


Explanation:

First, uncover the usual difference for the sequence. Subtract the very first term from the 2nd term.

*

Subtract the second term indigenous the 3rd term.

*

Subtract the third term indigenous the fourth term.

*

To discover the following value, add 

*
 to the last offered number.

*


Explanation:

First, find the typical difference because that the sequence. Subtract the very first term indigenous the 2nd term.

*

Subtract the 2nd term native the third term.

*

To uncover the following value, add 

*
 to the last provided number.

*


Explanation:

First, uncover the common difference because that the sequence. Subtract the first term native the second term.

*

Subtract the second term from the 3rd term.

*

To find the next value, add 

*
 to the last offered number.

*


Explanation:

First, uncover the typical difference because that the sequence. Subtract the first term from the second term.

*

Subtract the 2nd term from the 3rd term.

*

To uncover the next value, add 

*
 to the last provided number.

*


Explanation:

First, find the usual difference for the sequence. Subtract the very first term from the 2nd term.

*

Subtract the second term from the third term.

*

Subtract the third term native the fourth term.

*

To uncover the following value, add 

*
 to the last provided number.

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*


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