Number Series :
For given sequence, you have to find next numbers of that sequence.
How to solve :
First You have to identify the pattern of current sequence.
Most of sequence can be solved easily by taking differences of consecutive two numbers.
Some series may be
- Even, Odd series
- Difference is common number (Arithemetic progression)
- Multiplication by common number (Geometric progression)
- Prime series
- Square series
- Cube series
- Some Power series
- Fibonacci series
- Factorial series
- Rotate each digit
- and many more...
Some of the examples
Difference is common number
1. Find next 3 numbers in the sequence `1,3,5,7,9`
|
1 |
|
3 |
|
5 |
|
7 |
|
9 |
|
11 |
|
13 |
|
15 |
|
|
`+`2 |
|
`+`2 |
|
`+`2 |
|
`+`2 |
|
`+`2 |
|
`+`2 |
|
`+`2 |
`:.` The next 3 number for given series `1,3,5,7,9` are
`11,13,15`
Solution-1
General polynomial is `2x-1`
2. Find next 3 numbers in the sequence `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`
Solution-1
General polynomial is `2x`
3. Find next 3 numbers in the sequence `7,12,19,28,39`
|
7 |
|
12 |
|
19 |
|
28 |
|
39 |
|
52 |
|
67 |
|
84 |
|
|
`+`5 |
|
`+`7 |
|
`+`9 |
|
`+`11 |
|
`+`13 |
|
`+`15 |
|
`+`17 |
|
|
|
`+`2 |
|
`+`2 |
|
`+`2 |
|
`+`2 |
|
`+`2 |
|
`+`2 |
`:.` The next 3 number for given series `7,12,19,28,39` are
`52,67,84`
Solution-1
General polynomial is `x^2+2x+4`
4. Find next 3 numbers in the sequence `8,15,24,39,64,103,160`
|
8 |
|
15 |
|
24 |
|
39 |
|
64 |
|
103 |
|
160 |
|
239 |
|
344 |
|
479 |
|
|
`+`7 |
|
`+`9 |
|
`+`15 |
|
`+`25 |
|
`+`39 |
|
`+`57 |
|
`+`79 |
|
`+`105 |
|
`+`135 |
|
|
|
`+`2 |
|
`+`6 |
|
`+`10 |
|
`+`14 |
|
`+`18 |
|
`+`22 |
|
`+`26 |
|
`+`30 |
|
|
|
|
`+`4 |
|
`+`4 |
|
`+`4 |
|
`+`4 |
|
`+`4 |
|
`+`4 |
|
`+`4 |
`:.` The next 3 number for given series `8,15,24,39,64,103,160` are
`239,344,479`
Solution-1
General polynomial is `0.6667x^3-3x^2+11.3333x-1`
5. Find next 3 numbers in the sequence `1,6,9,14,25,46`
|
1 |
|
6 |
|
9 |
|
14 |
|
25 |
|
46 |
|
81 |
|
134 |
|
209 |
|
|
`+`5 |
|
`+`3 |
|
`+`5 |
|
`+`11 |
|
`+`21 |
|
`+`35 |
|
`+`53 |
|
`+`75 |
|
|
|
-2 |
|
`+`2 |
|
`+`6 |
|
`+`10 |
|
`+`14 |
|
`+`18 |
|
`+`22 |
|
|
|
|
`+`4 |
|
`+`4 |
|
`+`4 |
|
`+`4 |
|
`+`4 |
|
`+`4 |
`:.` The next 3 number for given series `1,6,9,14,25,46` are
`81,134,209`
Solution-1
General polynomial is `0.6667x^3-5x^2+15.3333x-10`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
