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.

See more: How Deep Is The Seine River Seine In Paris, River Seine In Paris

*


Lincoln university MO, Bachelor of Science, mathematics Teacher Education. Lincoln university MO, masters in Education, Mathe...
Calculus Tutors in Denver, ISEE Tutors in Atlanta, GRE Tutors in mountain Diego, ISEE Tutors in Denver, English Tutors in mountain Diego, Calculus Tutors in Los Angeles, MCAT Tutors in Washington DC, MCAT Tutors in Phoenix, Physics Tutors in Philadelphia, GRE Tutors in Seattle
SSAT courses & great in Seattle, ISEE process & great in san Diego, ACT process & class in Boston, LSAT courses & class in Houston, GRE process & classes in Denver, MCAT process & classes in Denver, ACT process & classes in Miami, ISEE courses & class in Washington DC, MCAT process & class in Los Angeles, LSAT process & class in Chicago
SSAT check Prep in Chicago, GRE test Prep in Atlanta, ACT check Prep in Washington DC, ISEE check Prep in Boston, MCAT check Prep in Denver, GMAT test Prep in Dallas fort Worth, sat Test prepare in Atlanta, ISEE test Prep in Washington DC, ACT check Prep in new York City, LSAT test Prep in Seattle
Report an worry with this concern

If you"ve uncovered an problem with this question, please let united state know. With the aid of the neighborhood we can proceed to enhance our educational resources.


her Infringement notice may be forwarded come the party that made the content easily accessible or to third parties such together ChillingEffects.org.

you re welcome follow these procedures to record a notice:

friend must incorporate the following:

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors llc 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105