Algebra 1 aid » Functions and also Lines » assignment » how to find the next term in one arithmetic sequence

In the complying with arithmetic sequence, what is 

*
?

*


Explanation:

The concern states the the succession is arithmetic, which means we uncover the next number in the sequence by adding (or subtracting) a consistent term. We understand two the the values, be separated by one unknown value.

You are watching: What is the next number in the sequence? 9….16….24….33…

We know that 

*
 is equally much from -1 and also from 13; therefore 
*
 is equal to half the distance between these two values. The distance in between them can be uncovered by adding the absolute values.

*

*

The consistent in the sequence is 7. From over there we can go forward or backward to uncover out that 

*
.

*

*


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

*


*


*


*


Explanation:

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

*

*

*

*

*

Our following term will fit the equation

*
, definition that the next term need to be
*
.

After

*
, the following term will certainly be
*
, definition that the next term should be 
*
.

Finally, after

*
, the next term will certainly be
*
, definition that the following term have to be
*

The concern asks for the amount of the next three terms, so now we require to include them together.

*


Explanation:

First, discover a sample in the sequence. You will notification that each time you relocate from one number come the very next one, it boosts by 7. The is, the difference in between one number and the next is 7. Therefore, we can include 7 to 36 and also the result will be 43. Thus

*
.


Explanation:

*

Determine what sort of succession you have, i.e. Even if it is the sequence transforms by a constant difference or a continuous ratio. You have the right to test this by spring at pairs of numbers, however this sequence has a continuous difference (arithmetic sequence).

*

*

So the sequence breakthroughs by subtracting 16 each time. Use this come the last given term.

*


Explanation:

First, uncover the usual difference because that the sequence. Subtract the an initial term indigenous the second term.

*

Subtract the 2nd term from the 3rd term.

*

Subtract the third term native the 4th term.

*

To find the following value, add 

*
 to the last given number.

*


Explanation:

First, uncover the typical difference for the sequence. Subtract the an initial term from the second term.

*

Subtract the 2nd term from the 3rd term.

*

To uncover the following value, add 

*
 to the last given number.

*


Explanation:

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

*

Subtract the 2nd term indigenous the 3rd term.

*

To discover the next value, add 

*
 to the last given number.

*


Explanation:

First, find the usual difference because that the sequence. Subtract the very first term indigenous the second term.

*

Subtract the second term indigenous the third term.

*

To uncover the next value, add 

*
 to the last provided number.

*


Explanation:

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

*

Subtract the second term indigenous the 3rd term.

*

Subtract the third term native the fourth term.

*

To uncover the next value, add 

*
 to the last given number.

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*


Universite de Liege, Bachelor the Chemistry, physics Chemistry. Columbia college in the City of new York, understand of Arts, ...
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