1. Number series using difference table
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 number in the sequence `1,3,5,7,9`
| 1 | | 3 | | 5 | | 7 | | 9 | | 11 | | `+`2 | | `+`2 | | `+`2 | | `+`2 | | `+`2 |
`:.` The next number for given series `1,3,5,7,9` is `11`
Solution-1
General polynomial is `2x-1`
2. Find next number in the sequence `2,4,6,8`
| 2 | | 4 | | 6 | | 8 | | 10 | | `+`2 | | `+`2 | | `+`2 | | `+`2 |
`:.` The next number for given series `2,4,6,8` is `10`
Solution-1
General polynomial is `2x`
3. Find next number in the sequence `7,12,19,28,39`
| 7 | | 12 | | 19 | | 28 | | 39 | | 52 | | `+`5 | | `+`7 | | `+`9 | | `+`11 | | `+`13 | | | `+`2 | | `+`2 | | `+`2 | | `+`2 |
`:.` The next number for given series `7,12,19,28,39` is `52`
Solution-1
General polynomial is `x^2+2x+4`
4. Find next number in the sequence `8,15,24,39,64`
| 8 | | 15 | | 24 | | 39 | | 64 | | 103 | | `+`7 | | `+`9 | | `+`15 | | `+`25 | | `+`39 | | | `+`2 | | `+`6 | | `+`10 | | `+`14 | | | | `+`4 | | `+`4 | | `+`4 |
`:.` The next number for given series `8,15,24,39,64` is `103`
Solution-1
General polynomial is `0.6667x^3-3x^2+11.3333x-1`
This material is intended as a summary. Use your textbook for detail explanation.
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