What is the next number in this sequence?

1) 11247
2) 7865
3) 97630
4) 41562

Hint: there are only five numbers in this sequence and the fifth number is five digits long

We know that there are precisely five 5-digit numbers in the
Fibonacci sequence, and these are:

10946, 17711, 28657, 46368, 75025

Let us place these numbers in a 5x5 grid in the following manner

1..0..9..4..6
1..7..7..1..1
2..8..6..5..7
4..6..3..6..8
7..5..0..2..5

Reading the digits in each column from the top, we obtain:

11247, 07865, 97630, 41562 and 61785.

We observe that first four of these numbers are the four terms of the given sequence.

Accordingly, the remaining number,that is 61785 must correspond to the fifth term of the sequence.

Consequently, the required next number of the given sequence is 61785.

Edited on November 12, 2007, 2:31 am

Edited on June 3, 2024, 1:30 pm

Edited on June 3, 2024, 1:31 pm

Posted by K Sengupta on 2007-11-12 02:31:38