Solving Recurrence equation for n
I have a recurrence equation tn which is defined as
tn=2.5tn−1−1.5tn−4,for n≥5
Where t1=5, t2=10.5, t3=26.25, and t4=62.625.
I need to solve my recurrence equation for n when tn=13×1010. How can I achieve this in Sage?