1. Find next 3 numbers in the sequence `3,7,15,31,63`

3		7		15		31		63		127		255		511
	`xx2 +1`		`xx2 +1`		`xx2 +1`		`xx2 +1`		`xx2 +1`		`xx2 +1`		`xx2 +1`

`:.` The next 3 number for given series `3,7,15,31,63` are `127,255,511`

Solution-1

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3

7

15

31

63

127

255

511

`+`4

`+`8

`+`16

`+`32

`+`64

`+`128

`+`256

`xx`2

`xx`2

`xx`2

`xx`2

`xx`2

`xx`2

`:.` The next 3 number for given series `3,7,15,31,63` are `127,255,511`

Solution-2

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2. Find next 3 numbers in the sequence `4,10,28,82,244`

4		10		28		82		244		730		2188		6562
	`xx3 -2`		`xx3 -2`		`xx3 -2`		`xx3 -2`		`xx3 -2`		`xx3 -2`		`xx3 -2`

`:.` The next 3 number for given series `4,10,28,82,244` are `730,2188,6562`

Solution-1

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4

10

28

82

244

730

2188

6562

`+`6

`+`18

`+`54

`+`162

`+`486

`+`1458

`+`4374

`xx`3

`xx`3

`xx`3

`xx`3

`xx`3

`xx`3

`:.` The next 3 number for given series `4,10,28,82,244` are `730,2188,6562`

Solution-2

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3. Find next 3 numbers in the sequence `4,8,10,20,22,44`

4		8		10		20		22		44		46		92		94
	`xx`2		`+`2		`xx`2		`+`2		`xx`2		`+`2		`xx`2		`+`2

`:.` The next 3 number for given series `4,8,10,20,22,44` are `46,92,94`

Solution-1

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4. Find next 3 numbers in the sequence `4,6,14,44,178`

4		6		14		44		178		892		5354		37480
	`xx1 +2`		`xx2 +2`		`xx3 +2`		`xx4 +2`		`xx5 +2`		`xx6 +2`		`xx7 +2`

`:.` The next 3 number for given series `4,6,14,44,178` are `892,5354,37480`

Solution-1

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5. Find next 3 numbers in the sequence `4,5,11,34,137`

4		5		11		34		137		686		4117		28820
	`xx1 +1`		`xx2 +1`		`xx3 +1`		`xx4 +1`		`xx5 +1`		`xx6 +1`		`xx7 +1`

`:.` The next 3 number for given series `4,5,11,34,137` are `686,4117,28820`

Solution-1

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6. Find next 3 numbers in the sequence `8,28,116,584`

8		28		116		584		3508		24560		196484
	`xx3 +4`		`xx4 +4`		`xx5 +4`		`xx6 +4`		`xx7 +4`		`xx8 +4`

`:.` The next 3 number for given series `8,28,116,584` are `3508,24560,196484`

Solution-1

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