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Et Tu, Brute? (Posted on 2005-08-02) Difficulty: 2 of 5
What follows in this sequence?

1, 2, 3, 3, 2, 3, 4, 5, 3, 2, 3, 4, 5, 5, 4, 5, 6, 7, 5, 4, 5, ...

See The Solution Submitted by Erik O.    
Rating: 3.5000 (4 votes)

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Solution Explanation to Puzzle Answer | Comment 17 of 18 |
(In reply to Puzzle Answer by K Sengupta)

The sequence is constructed by converting a given term to Roman Numerals and considering the number of line segments required to write it. 

Accordingly,  we must have :
1--> I--> 1
2--> II --> 2
3--> III--> 3
4--> IV--> 3
5--> V --> 2
6 --> VI --> 3
7--> VII --> 4
8--> VIII--> 5
9 --> IX--> 3
10--> X--> 2
11--> XI--> 3
12 --> XII--> 4
13--> XIII--> 5
14--> XIV --> 5
15 --> XV--> 4
16 --> XVI --> 5
17 --> XVII --> 6
18--> XVIII--> 7
19--> XIX--> 5
20--> XX --> 4 
21 --> XXI --> 5
22--> XXII --> 6

Since the first 21 terms are given, and we are asked to determine the 22nd term - it follows that the value of the required following term is 6.

Edited on September 7, 2022, 3:28 am
  Posted by K Sengupta on 2022-09-07 03:12:11

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