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

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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`

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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`

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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`

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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`

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