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Cool sequence 2 (Posted on 2003-05-07) Difficulty: 2 of 5
Here is a cool sequence.

1,10,101,1020,10301,______,_______...

What numbers go in the two blanks?

See The Solution Submitted by Tim Axoy    
Rating: 4.2500 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Puzzle Solution With Explanation Comment 15 of 15 |
(In reply to Answer by K Sengupta)

Let the pth term of the sequence be S(p).

Then, the terms are given by the recursion relation:

S(p) = S(p-2) + 10*S(p-1)

Accordingly, we observe that:

S(3) = 1 + 10*10 = 101

S(4) = 10 + 10*101 = 1020

S(5) = 101 + 10*1020 = 10301

S(6) = 1020 + 10*10301 = 104030

S(7) = 10301 + 10*104030 = 1050601

Consequently, the missing 6th and 7th terms are respectively 104030 and 1050601

 


  Posted by K Sengupta on 2008-03-28 12:15:48
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