what is the recursive formula for this geometric sequence?
It is often possible to find an explicit formula that gives the same answer as a given recursive formula - and vice versa. I don't think you can always find an explicit formula that gives the same answer.
Because a tree is a recursive data-structure. It's easier to write (and easier to understand) a recursive program for handling it.
write a java program to find factorial using recursive and non recursive
It look like a Fibonacci sequence seeded by t1 = 2 and t2 = 1. After that the recursive formula is simply tn+1 = tn-1 + tn.
x_n+1 = x_n / 4
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A recursive formula is one that references itself. The famous example is the Fibonacci function: fib(n) := fib(n-1) + fib(n-2), with the terminating proviso that fib(0) = 0 and fib(1) = 1.
-7
4, -1236, -108 is not a geometric system.
That sounds like the definition for Recursive Formula.
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