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Home > Pre-Algebra calculators > Find the next number in the sequence example
1. Number Series example ( Enter your problem )
( Enter your problem )
  1. Number series using difference table
  2. Multiplication type series
  3. Mixed type series (*a+b)
  4. Square, Cube, Power series
  5. Combination of 2 or 3 or 4 series
  6. Previous 2 or 3 terms addition, multiplicaiton series
  7. Prime numbers series
  8. Prime numbers addition, multiplicaiton series
  9. 2 or 3 digits group series
  10. `n^3-n^2` type series
  11. Reverse of the square, cube, prime type series
  12. Each number digits are `a^2b^2` format
  13. Special series-1
  14. Special series-2
  15. `x^2,x^3` alternate type series
  16. 3 or 4 term repeat series
  17. Number Pattern series
  18. Multiplication by `1/2,1/3` type series
  19. `a/b` pattern series
  20. Special series-3
 		Other related methods
  1. Number Series
  2. Alphabate series
  3. Missing Letter Series
12. Each number digits are `a^2b^2` format
(Previous example)		14. Special series-2
(Next example)

13. Special series-1


1. Find next 3 numbers in the sequence `85,13,26,8,16`

85 13 26 8 16  7   14   5 
8+5 `xx`2 2+6 `xx`2  1+6   `xx`2   1+4 


`:.` The next 3 number for given series `85,13,26,8,16` are `7,14,5`

Solution-1

2. Find next 3 numbers in the sequence `91,901,9001`

91 901 9001  90001   900001   9000001 
`+`810 `+`8100  `+`81000   `+`810000   `+`8100000 
`xx`10  `xx`10   `xx`10   `xx`10 


`:.` The next 3 number for given series `91,901,9001` are `90001,900001,9000001`

Solution-1

3. Find next 3 numbers in the sequence `8,16,9,27,10,40,11,55`

Answer : `8,16,9,27,10,40,11,55,12,72,13`

`:.` The next 3 number for given series `8,16,9,27,10,40,11,55` are `12,72,13`

Solution-1

4. Find next 3 numbers in the sequence `-2,4,-6,8`

Here given series is +ve, -ve alternate series. So we consider it only +ve series
New series is : `2,4,6,8`

2 4 6 8  10   12   14 
`+`2 `+`2 `+`2  `+`2   `+`2   `+`2 


`:.` The next 3 number for given series `2,4,6,8` are `10,12,14`

Now again adding +ve, -ve alternatively, we get
Answer : `-10,12,-14`

`:.` The next 3 number for given series `-2,4,-6,8` are `-10,12,-14`

Solution-1

5. Find next 3 numbers in the sequence `12,21,13,31,14,41`

First we consider only odd numbers : `12,13,14`

12 13 14  15   16   17 
`+`1 `+`1  `+`1   `+`1   `+`1 


`:.` The next 3 number for given series `12,13,14` are `15,16,17`

Now, Second number is reverse number of first number
`12"'s reverse"=21`

`13"'s reverse"=31`

`14"'s reverse"=41`

So required number are
`15"'s reverse"=51`

`16"'s reverse"=61`

`17"'s reverse"=71`

Answer : `12,21,13,31,14,41,15,51,16,61,17,71`

`:.` The next 6 number for given series `12,21,13,31,14,41` are `15,51,16,61,17,71`

Solution-1

6. Find next 3 numbers in the sequence `2738,7382,3827`

Here each digit is rotated left.
Answer : `8273,2738,7382`

`:.` The next 3 number for given series `2738,7382,3827` are `8273,2738,7382`

Solution-1

7. Find next 3 numbers in the sequence `2738,8273,3827`

Here each digit is rotated right.
Answer : `7382,2738,8273`

`:.` The next 3 number for given series `2738,8273,3827` are `7382,2738,8273`

Solution-1


This material is intended as a summary. Use your textbook for detail explanation.
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12. Each number digits are `a^2b^2` format
(Previous example)		14. Special series-2
(Next example)


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