What's the next term in this sequence?

Level 2

1, 11, 21, 1211, 3112, 132112, ?

223113 332113 311322 323112

Deepak Jain by Deepak Jain , 22, India

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5 solutions

It's just counting literally. The first term 1 is counted by the next, one "1". The second term 11 is counted by two "ones", 21. This sequence continues, hence, the next term 311322 (three "ones", one "three", two "twos") counts the number before it which is 132212.

11 Helpful 0 Interesting 0 Brilliant 0 Confused

Nycccc, tricky one

PUSHPESH KUMAR - 6 years, 7 months ago

A variation of the 'Look and say' sequence: http://en.wikipedia.org/wiki/Look-and-say_sequence

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Sri Ram
Nov 14, 2014

count d number in each numbers

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Hanta Julian
Nov 20, 2014

1, There is

One (1) Number 1 ⇒ \Rightarrow 1 1

11, There is

Two (2) Number 1 ⇒ \Rightarrow 2 1

21, There is

One (1) Number 2 ⇒ \Rightarrow 1 2
One (1) Number 1 ⇒ \Rightarrow 1 1

1211, There is

Three (3) Number 1 ⇒ \Rightarrow 3 1
One (1) Number 2 ⇒ \Rightarrow 1 2

3112, There is

One (1) Number 3 ⇒ \Rightarrow 1 3
Two (2) Number 1 ⇒ \Rightarrow 2 1
One (1) Number 2 ⇒ \Rightarrow 1 2

132112, There is

Three (3) Number 1 ⇒ \Rightarrow 3 1
One (1) Number 3 ⇒ \Rightarrow 1 3
Two (2) Number 2 ⇒ \Rightarrow 2 2
So the answer is ⇒ \Rightarrow 3 1 1 3 2 2
0 Helpful 0 Interesting 0 Brilliant 0 Confused
Anna Anant
Nov 15, 2014

1 (one 1) 11 (two 1s) 21 (one 2, one 1) 1211 (three 1s, one 2) 3112 (three 1s, one 3, two 2s) 311322

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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