Find next number in the sequence 3,7,15,31,63 calculator

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Solution

Solution provided by AtoZmath.com

Number series

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`