What is the general solution to an=rcdotan−1a_n = r \\cdot a_{n-1}an=rcdotan−1?
an=a0cdotrna_n = a_0 \\cdot r^nan=a0cdotrn
an=a0+nra_n = a_0 + nran=a0+nr
an=rna_n = r^nan=rn
an=nra_n = n^ran=nr