1,2,6,42,?

M4maths Previous Puzzles

07 Feb 2011 Next number?

1,2,6,42,?

OPtion

1) 48
2) 1806
3) 186
4) 1764
5) 1987
6) 2087
7) 1842
8) 286
9) 1942
10) 142

Solution

series is like
1
1+1^2=2
2+2^2=6
6+6^2=42
42+42^2=1806

Correct Option: 2 Best Solution (16)

Dr.Dipin Singh   14 years AGO

(n+1) th term = N th term * next ( successive )number
as
2=1*2
6=2*3
42=6*7
42*43=1806 ... option 2

Like? Yes (5) | No (1)  

Ashu   14 years AGO

1,2( 1*2),6(2*3),42(6*7),42*43=1806

Like? Yes (2) | No   

Amar   14 years AGO

Multiply number with succeeding number to get next number.

42*43=1806

Like? Yes (2) | No   

Subhradip Biswas   14 years AGO

N2+N
1^2+1=2
2^+2=6
6^+6=42
42^2+42=1806

Like? Yes (2) | No   

SUJIT PATTANAYAK   14 years AGO

42*43

Like? Yes (1) | No   

susmit   14 years AGO

1*2 =2
2*3=6
6*7=42
42*43=1806
(first no.)(no.+1)= second no. and so on.

Like? Yes (1) | No   

Rama Chandra Prakash Kapa   14 years AGO

1
1(2) = 2
2(3) = 6
6(7) = 42
42(43) = 1806

so option 2 is correct

Like? Yes (1) | No   

dharmaveer   14 years AGO

1*(1+1)= 2
2*(2+1)= 6
6*(6+1)=42
42*(42+1) = 1806

option: 2

Like? Yes (2) | No (1)  

Suresh Varma P   14 years AGO

1,
1(2) = 2,
2(3) = 6,
6(7) = 42,
42(43) = 1806,

Like? Yes (1) | No   

Mihir   14 years AGO

42x43=1806

Like? Yes (1) | No   

Raman   14 years AGO

42x43=1806

Like? Yes (1) | No   

suneelkumar.avvari   14 years AGO

the seq in the form
1 , 1^2+1,2^2+2 ,6^2+6 so nxt one is 42^2+42

Like? Yes (1) | No   

krishna kumar gupta   14 years AGO

2=1+1*1;
6=2*2+1*1+1;
42=6*6*+4*4+1*1+1;
1806=42*42+6*6+4*4+2*2+1*1+1;

Like? Yes (1) | No   

mAhEsH.A   14 years AGO

since it is a series .. so here (6*6)+6=42. .
sameway (42*42)+42=1806

Like? Yes (1) | No   

dhiresh   14 years AGO

1 2 6 42 _?
given series is fully fit on pattern
T(n+1)=SquareT(n)+T(n)
so.. next term is 42*42+42=1806
so Option 2 is answer

Like? Yes (1) | No   

shubham srivastava   14 years AGO

series=no. multiplied by (no.+1)
0*1=1
1*2=2
2*3=6
6*7=42
42*43=1806

Like? Yes (1) | No