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What Two Numbers Come Next In The Sequence?? HELP

What Comes Next In The Sequence????
  
 
 
                      15 , 16 3/4 , 18 1/2???
 
 
 

                                   HELP!!!

 

3 Answers by Expert Tutors

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Glenn M. | Math and Science TutorMath and Science Tutor
4.9 4.9 (401 lesson ratings) (401)
1
Hi Jaden, 
 
I'm going to use decimal notation to help minimize any confusion here.
 
hence, 16 3/4 = 16.75     and 18 1/2 = 18.5
 
The difference in the first two numbers is : 16.75 - 15 = 1.75
The difference in the 3rd and the 2nd numbers : 18.5 - 16.75 = 1.75
 
So it appears that we are adding 1.75 to each number to get the next value.
 
So the next 2 numbers in this sequence would be 
 
18.5 + 1.75 = 20.25
20.25 + 1.75 = 22.0
 
Glenn
Ryan S. | Mathematics and StatisticsMathematics and Statistics
4.8 4.8 (10 lesson ratings) (10)
1
One strategy is to see if there is a constant difference between terms. If so, it is an arithmetic sequence. You get lucky here because there is a constant difference; it is 1 3/4 or 7/4 or 1.75. So to get the next term, add 1.75. The next two numbers (following the mixed number format of the question) are 20 1/4 and 22.
Roshni P. | Academic, Business and Leadership Tutor! - - FINALS TOO!Academic, Business and Leadership Tutor!...
5.0 5.0 (30 lesson ratings) (30)
-1
Ryan gave a great answer.  The first thing to check for in a sequential pattern is to see if there is a constant change between each number in the pattern.  In this case 1.75 was added to each number to get the next number.  If you keep adding 1.75 to each number the next two numbers are 20.25 (20 1/4) and then 22.