A sequence of positive integers with 2020 terms is called an F T sequence if each term after the second is the sum of the previous two terms. For example, if the first two terms of an FT sequence are 8 and 7 , the sequence would begin 8,7,15,22,37, \ldots. For some positive integer m, there are exactly 2415 FT sequences where the first two terms are each less than 2 m and the number of odd-valued terms is more than twice the number of even-valued terms. What is the value of m ?
Answer Choices
A. 21
B. 69
C. 115
D. 35
E. 105