1992 AHSME Problem 18

The increasing sequence of positive integers a_1,a_2,a_3,\cdots has the property that

a_{n+2}=a_n+a_{n+1} \text{ for all } n\ge 1.

If a_7=120, then a_8 is

\text{(A) } 128\quad \text{(B) } 168\quad \text{(C) } 193\quad \text{(D) } 194\quad \text{(E) } 210

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.