Say them aloud!

Logic Level 2

Find the next number of the sequence:

1 , 11 , 21 , 1211 , 111221 , 1, 11, 21, 1211, 111221, \dots


The answer is 312211.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Chew-Seong Cheong
Apr 11, 2020

In number Saying in words 1 11 (one 1) 11 21 (two 1) 21 1211 (one 2, one 1) 1211 111221 (one 1, one 2, two 1) 111221 312211 (three 1, two 2, one 1) \begin{array} {r|l} \text{In number} & \text{Saying in words} \\ \hline 1 & \blue{11} \text{ (one 1)} \\ \blue{11} & 21 \text{ (two 1)} \\ 21 & 1211 \text{ (one 2, one 1)} \\ 1211 & 111221 \text{ (one 1, one 2, two 1)} \\ 111221 & \boxed{312211} \text{ (three 1, two 2, one 1)} \end{array}

In the fifth term, there are three ones , two twos and a single, i. e. one one . So the next number is 312211 \boxed {312211} .

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...