Let A={a1,a2,…,an} be a set of the first n terms of an arithmetic progression. Similarly, let B={b1,b2,…,bn} be a set of the first n terms of a geometric progression.
If a new set C=A+B={a1+b1,a2+b2,…,an+bn} and the first four terms of C are {0,0,1,0}, what is the 11th term of C?