The terms of some sequences are determined according to the following rule: If the values of a given term t is odd positive integer, then the value next term is 3t-9 if the value of a given term t is an even positive integer then the value next term is 2t-7 if the term of the seuence alternate between two positive integers(a,b,a,b........)what is the sum of two positive integers?
Hello, Dragon!
An interesting problem . . .
The terms of a sequence are determined according to the following rule:
If a term is odd, then the next term is
If a term is even, then the next term is
If the terms of the sequence alternate between two positive integers: a, b, a, b ...
what is the sum of two positive integers?
Let be an odd positive integer.
Then the next term is: . ... an even integer.
Then the next term is: .
But this is equal to the first term
. . Hence, we have: .
Then: .
Thererfore: .