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 Analytical Solution by Daniel)

What about 8,9  ?

They are also consecutive and may lead to the 2nd solution mentioned by Charlie.

I suggest editing your post to make it complete.

Posted by Ady TZIDON on 2016-07-23 10:44:33