1. Find next 3 numbers in the sequence `85,13,26,8,16`

85		13		26		8		16		7		14		5
	8+5		`xx`2		2+6		`xx`2		1+6		`xx`2		1+4

`:.` The next 3 number for given series `85,13,26,8,16` are `7,14,5`

Solution-1

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2. Find next 3 numbers in the sequence `91,901,9001`

91		901		9001		90001		900001		9000001
	`+`810		`+`8100		`+`81000		`+`810000		`+`8100000
		`xx`10		`xx`10		`xx`10		`xx`10

`:.` The next 3 number for given series `91,901,9001` are `90001,900001,9000001`

Solution-1

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3. Find next 3 numbers in the sequence `8,16,9,27,10,40,11,55`

Answer : `8,16,9,27,10,40,11,55,12,72,13`

`:.` The next 3 number for given series `8,16,9,27,10,40,11,55` are `12,72,13`

Solution-1

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4. Find next 3 numbers in the sequence `-2,4,-6,8`

Here given series is +ve, -ve alternate series. So we consider it only +ve series
New series is : `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`

Now again adding +ve, -ve alternatively, we get
Answer : `-10,12,-14`

`:.` The next 3 number for given series `-2,4,-6,8` are `-10,12,-14`

Solution-1

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5. Find next 3 numbers in the sequence `12,21,13,31,14,41`

First we consider only odd numbers : `12,13,14`

12		13		14		15		16		17
	`+`1		`+`1		`+`1		`+`1		`+`1

`:.` The next 3 number for given series `12,13,14` are `15,16,17`

Now, Second number is reverse number of first number
`12"'s reverse"=21`

`13"'s reverse"=31`

`14"'s reverse"=41`

So required number are
`15"'s reverse"=51`

`16"'s reverse"=61`

`17"'s reverse"=71`

Answer : `12,21,13,31,14,41,15,51,16,61,17,71`

`:.` The next 6 number for given series `12,21,13,31,14,41` are `15,51,16,61,17,71`

Solution-1

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6. Find next 3 numbers in the sequence `2738,7382,3827`

Here each digit is rotated left.
Answer : `8273,2738,7382`

`:.` The next 3 number for given series `2738,7382,3827` are `8273,2738,7382`

Solution-1

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7. Find next 3 numbers in the sequence `2738,8273,3827`

Here each digit is rotated right.
Answer : `7382,2738,8273`

`:.` The next 3 number for given series `2738,8273,3827` are `7382,2738,8273`

Solution-1

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