The sequence ana_nan is defined by a1=3a_1 = 3a1=3 and an+1=an+log2(1+1n)a_{n+1} = a_n + \log_2(1 + \frac{1}{n})an+1=an+log2(1+n1). What is a1024a_{1024}a1024?
131313
3+log2(1024)3 + \log_2(1024)3+log2(1024)
101010
3+log2(1023)3 + \log_2(1023)3+log2(1023)