Each of A(1), A(2),..., A(7) is a positive integer such that:

(i) A(6) = 144, and

(ii) A(n+3) = A(n+2)(A(n+1)+A(n)), for n = 1,2,3,4

Find A(7)

(In reply to re: answer by Charlie)

True.

What I've solved was A(n+3) = A(n)(A(n+1)+A(n+2)), and checked the answer against the wrong question.

Same difficulty, had fun.

2 12 3 27 63 144 1845   

Posted by Ady TZIDON on 2016-07-22 10:56:05