What is the next number of the following sequence 12, 132, 1452, 15972, ..........

M4maths Previous Puzzles

16 May 2016 Sequence

What is the next number of the following sequence
12, 132, 1452, 15972, ..........

OPtion

1) 165792
2) 176592
3) 186592
4) 16961662
5) 16141692
6) 16149162
7) 16419162
8) 16146152
9) 156792
10)16146192

Solution

12
1 (1+2) 2 = 1 3 2 = 132
1 (1+3) (3+2) 2 = 1 4 5 2 = 1452
1 (1+4) (4+5) (5+2) 2 = 1 5 9 7 2 = 15972
Similarly
1 (1+5) (5+9) (9+7) (7+2) 2 = 1 6 14 16 9 2 = 16141692

Option 5)

Correct Option: 5 Best Solution (19)

Aakash Beniwal   8 years AGO

Add digit in sequence..like
1 + 2 and keep 1st and last digit as 1 and 2...so
1 3 2
1 +3 and 3+2
= 1 4 5 2 ... and so on

Like? Yes (4) | No   

RAHUL KUMAR   8 years AGO

12
1 (1+2) 2=132
1 (1+3) (3+2) 2=1452
1 (1+4) (4+5) (5+2) 2=15972
1 (1+5) (5+9) (9+7) (7+2) 2=16141692
Option 5

Like? Yes (1) | No   

priya   8 years AGO

The logic is 12=1(1+2)2=132
Then 15972=16141692
Maintain the 1 & 2 and add the inbetween numbers to each other
Then the answer will be option 5

Like? Yes (1) | No   

MRITUNJAY   8 years AGO

12
1 1+2 2=132
1 (1+3) (3+2) 2=1452
1 (1+4) (4+5) (5+2) 2=15972
1 (1+5) (5+9) (9+7) (7+2) 2=16141692
Option 5

Like? Yes | No   

ABHINAV PUSHPAM   8 years AGO

12
1 (1+2) 2= 132
1 (1+3) (2+3) 2= 1452
1 (1+4) (4+5) (5+2)= 15972
Similarly.
16141692
Option 5)

Like? Yes | No   

Pooja Priti   8 years AGO

this follows the sequence that:
the 1st no.is 12 and the next one is 132 i.e 1 1+2 2
same as it follows the pattern the first digit is always 1 the 2nd no.is the sum of first and sec.digit the 3rd no.is sum of 2nd anr 3rd digit and the last digit is always 2 and so on
therefore the last no.given in this que.is 15972 i.e the no. will be 1 1+5 5+9 9+7 7+2 2
so the no.will be 16141692

Like? Yes | No   

Mridula Shaw   8 years AGO

1 (1+2) 2=132
1 (1+3) (3+2) 2=1452
1 (1+4) (4+5) (5+2) 2=15972
1(1+5) (5+9) (9+7) (7+2) 2=16141692

Like? Yes | No   

Hareesh    8 years AGO

1. 12
2. 1(1+2)2 =132
3. 1(1+3)(3+2)2 =1452
4. 1(1+4)(4+5)(5+2)2 =15972
5. 1(1+5)(5+9)(9+7)(7+2)2=16141692.

Like? Yes | No   

Testing Account   8 years AGO

12->1+2=3 keep the answer between first(1) and last(2) number from previous number
15972->1+5=6; 5+9=14;9+7=16;7+2=9
6 14 16 9
put this numbers between first(1) and last(2) numbers from previous number
and: 16141692

Like? Yes | No   

Mukund Manohar   8 years AGO

Let the first and last digit be at its place and in between, place the digits after adding first to second digit,second to third digit and so on.
12 = 1(1+2)2 = 132
132 = 1(1+3)(3+2)2 = 1452
1452 = 1(1+4)(4+5)(5+2)2 = 15972
15972 = 1(1+5)(5+9)(9+7)(7+2)2 = 16141692

Like? Yes | No   

Jaikumar Bhatia   8 years AGO

12=>1(1+2)2=132
132=>1(1+3)(3+2)2=1452
1452=>1(1+4)(4+5)(5+2)2=15972
15972=>1(1+5)(5+9)(9+7)(7+2)2=16141692
Ans is 16141692
Option is 5

Like? Yes | No   

JERRALD JENIL R   8 years AGO

12
1(1+2)2=132
1(1+3)(3+2)2=1452
1(1+4)(4+5)(5+2)2=15972
1(1+5)(5+9)(9+7)(7+2)2=16141692

Like? Yes | No   

M Janardhan   8 years AGO

1 common for starting 1
1+5=6
5+9=14
9+7=16
7+2=9
last 2 common so the answer is
16141692

Like? Yes | No   

poonam singhai   8 years AGO

1 and 2 will be present in all the sequence but next number is sum of cosequtive no. eg 12 then next is 1+2 =3 so 132

Like? Yes | No   

Karthik S K   8 years AGO

In this pattern, the last two digits of the number are kept as it is, and the remaining digits are obtained by adding up the digits in between the first and the last digits(1 & 2, in this case), with the digits to the left and right of it without repetition.

Like? Yes | No   

Abdul rahiman c m k   8 years AGO

first number 12

1(1+2)2 gives 132
1(1+3)(3+2)2 gives 1452
1(1+4)(4+5)(5+2)2 gives 15972
1(1+5)(5+9)(9+7)(7+2)2 gives 16141692

Like? Yes | No   

jayalakshmi   8 years AGO

after 15 ,16 would come and then add 5+9=14,9+7=16,7+2=9;and the last digit is usally 2.
so,ans is 1614162

Like? Yes | No   

sundar   8 years AGO

1should be the first digit 2should be the last digit middle numbers should be the sum of the consequetive numbers i.e 1+5=6,9+5=14,9+7=16,7+2=9 so the final answer is 16141692

Like? Yes | No   

Rohit Kumar   8 years AGO

12
1 (1+2) 2=132
1 (1+3) (3+2) 2=1452
1 (1+4) (4+5) (5+2) 2=15972
1 (1+5) (5+9) (9+7) (7+2) 2=16141692
Option 5

Like? Yes | No