1. Find next 2 term in the sequence BDF,CFI,DHL

`1^(st)` letter of each term

B		C		D		E		F
	`+`1		`+`1		`+`1		`+`1

`2^(nd)` letter of each term

D		F		H		J		L
	`+`2		`+`2		`+`2		`+`2

`3^(rd)` letter of each term

F		I		L		O		R
	`+`3		`+`3		`+`3		`+`3

`:.` next term of BDF,CFI,DHL will be EJO,FLR

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2. Find next 2 term in the sequence ABD,DGK,HMS,MTB,SBL


`1^(st)` letter of each term

A

D

H

M

S

Z

H

`+`3

`+`4

`+`5

`+`6

`+`7

`+`8

`2^(nd)` letter of each term

B

G

M

T

B

K

U

`+`5

`+`6

`+`7

`+`8

`+`9

`+`10

`3^(rd)` letter of each term

D

K

S

B

L

W

I

`+`7

`+`8

`+`9

`+`10

`+`11

`+`12

`:.` next term of ABD,DGK,HMS,MTB,SBL will be ZKW,HUI

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3. Find next 2 term in the sequence P3C,R5F,T8I,V12L


`1^(st)` letter of each term

P		R		T		V		X		Z
	`+`2		`+`2		`+`2		`+`2		`+`2

`2^(nd)` number of each term

Next number of `3,5,8,12` are `17,23`

The given series is `3,5,8,12,?`



(Note : You have entered 4 comma seperated numbers)

3		5		8		12		17		23
	`+`2		`+`3		`+`4		`+`5		`+`6
		`+`1		`+`1		`+`1		`+`1

`:.` The next 2 number for given series `3,5,8,12` are `17,23`

Solution-1
General polynomial is `0.5x^2+0.5x+2`

`3^(rd)` letter of each term

C		F		I		L		O		R
	`+`3		`+`3		`+`3		`+`3		`+`3

`:.` next term of P3C,R5F,T8I,V12L will be X17O,Z23R

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4. Find next 2 term in the sequence nd,iy,dt,yo,tj


`1^(st)` letter of each term

n		i		d		y		t		o		j
	-5		-5		-5		-5		-5		-5

`2^(nd)` letter of each term

d		y		t		o		j		e		z
	-5		-5		-5		-5		-5		-5

`:.` next term of nd,iy,dt,yo,tj will be oe,jz

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5. Find next 2 term in the sequence YEB,WFD,UHG,SKI


`1^(st)` letter of each term

Y		W		U		S		Q		O
	-2		-2		-2		-2		-2

`2^(nd)` letter of each term

E		F		H		K		O		T
	`+`1		`+`2		`+`3		`+`4		`+`5

`3^(rd)` letter of each term

B		D		G		I		L		N
	`+`2		`+`3		`+`2		`+`3		`+`2

`:.` next term of YEB,WFD,UHG,SKI will be QOL,OTN

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6. Find next 2 term in the sequence NRJ,PNP,RJV


`1^(st)` letter of each term

N		P		R		T		V
	`+`2		`+`2		`+`2		`+`2

`2^(nd)` letter of each term

R		N		J		F		B
	-4		-4		-4		-4

`3^(rd)` letter of each term

J		P		V		B		H
	`+`6		`+`6		`+`6		`+`6

`:.` next term of NRJ,PNP,RJV will be TFB,VBH

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7. Find next 2 term in the sequence DEF,HIJ,MNO


Each letter in each term move 1 step forward

DEF		HIJ		MNO		STU		ZAB
	`+`2		`+`3		`+`4		`+`5

`:.` next term of DEF,HIJ,MNO will be STU,ZAB

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8. Find next 2 term in the sequence AB,DEF,HIJK


Each letter in each term move 1 step forward

AB		DEF		HIJK		MNOPQ		STUVWX
	`+`2		`+`2		`+`2		`+`2

`:.` next term of AB,DEF,HIJK will be MNOPQ,STUVWX

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9. Find next 2 term in the sequence A,CD,GHI


Each letter in each term move 1 step forward

A		CD		GHI		MNOP		UVWXY
	`+`2		`+`3		`+`4		`+`5

`:.` next term of A,CD,GHI will be MNOP,UVWXY

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10. Find next 2 term in the sequence AD,EH,IL,MP


Each letter in each term move 3 step forward

AD		EH		IL		MP		QT		UX
	`+`1		`+`1		`+`1		`+`1		`+`1

`:.` next term of AD,EH,IL,MP will be QT,UX

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11. Find next 2 term in the sequence CE,GI,KM,OQ


Each letter in each term move 2 step forward

CE		GI		KM		OQ		SU		WY
	`+`2		`+`2		`+`2		`+`2		`+`2

`:.` next term of CE,GI,KM,OQ will be SU,WY

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12. Find next 2 term in the sequence Z,X,V,T,R

Z		X		V		T		R		P		N
	-2		-2		-2		-2		-2		-2

`:.` next term of Z,X,V,T,R will be P,N

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13. Find next 2 term in the sequence A,B,D,G

A		B		D		G		K		P
	`+`1		`+`2		`+`3		`+`4		`+`5

`:.` next term of A,B,D,G will be K,P

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14. Find next 2 term in the sequence Z,S,W,O,T,K,Q,G

Z

S

W

O

T

K

Q

G

N

C

-7

`+`4

-8

`+`5

-9

`+`6

-10

`+`7

-11

`:.` next term of Z,S,W,O,T,K,Q,G will be N,C

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15. Find next 2 term in the sequence Z,Y,X,U,T,S,P,O,N,K

Z		Y		X		U		T		S		P		O		N		K		J		I
	-1		-1		-3		-1		-1		-3		-1		-1		-3		-1		-1

`:.` next term of Z,Y,X,U,T,S,P,O,N,K will be J,I

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16. Find next 2 term in the sequence A,Z,X,B,V,T,C,R,P

A

Z

X

B

V

T

C

R

P

D

N

`+`25

-2

-22

`+`20

-2

-17

`+`15

-2

-12

`+`10

`:.` next term of A,Z,X,B,V,T,C,R,P will be D,N

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17. Find next 2 term in the sequence AB,ABC,ABCD


Each letter in each term move 1 step forward

AB		ABC		ABCD		ABCDE		ABCDEF
	-1		-2		-3		-4

`:.` next term of AB,ABC,ABCD will be ABCDE,ABCDEF

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18. Find next 2 term in the sequence BA,CBA,DCBA


Each letter in each term move 1 step backward

BA		CBA		DCBA		EDCBA		FEDCBA
	`+`2		`+`3		`+`4		`+`5

`:.` next term of BA,CBA,DCBA will be EDCBA,FEDCBA

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19. Find next 2 term in the sequence a,e,i,o


The series contains vowels
Answer : `a,e,i,o,u`

`:.` next term of a,e,i,o will be u

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20. Find next 2 term in the sequence O,T,T,F,F,S,S,E,N


O = One
T = Two
T = Three
F = Four
F = Five
S = Six
S = Seven
E = Eight
N = Nine

So required term are
T = Ten
E = Eleven
Answer : O,T,T,F,F,S,S,E,N,T,E
`:.` next term of O,T,T,F,F,S,S,E,N will be T,E

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21. Find next 2 term in the sequence S,M,T,W


S = Sunday
M = Monday
T = Tuesday
W = Wednesday

So required term are
T = Thursday
F = Friday
Answer : S,M,T,W,T,F
`:.` next term of S,M,T,W will be T,F

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22. Find next 2 term in the sequence J,F,M,A


J = January
F = February
M = March
A = April

So required term are
M = May
J = June
Answer : J,F,M,A,M,J
`:.` next term of J,F,M,A will be M,J

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23. Find next 2 term in the sequence A,E,F,H


A is written with all straight lines
E is written with all straight lines
F is written with all straight lines
H is written with all straight lines

So required term are
I is written with all straight lines
K is written with all straight lines
Answer : A,E,F,H,I,K
`:.` next term of A,E,F,H will be I,K

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