已知数列 {an}\left\{ {a}_{n}\right\}{an} 满足 a1=1,an+1=an1+an(n∈N∗){a}_{1} = 1,{a}_{n + 1} = \frac{{a}_{n}}{1 + \sqrt{{a}_{n}}}\left( {n \in {\mathrm{N}}^{ * }}\right)a1=1,an+1=1+anan(n∈N∗) . 记数列 {an}\left\{ {a}_{n}\right\}{an} 的前 nnn 项和为 Sn{S}_{n}Sn ，则（）A. 32<S100<3\frac{3}{2} < {S}_{100} < 323<S100<3B. 3<S100<43 < {S}_{100} < 43<S100<4C. 4<S100<924 < {S}_{100} < \frac{9}{2}4<S100<29D. 92<S100<5\frac{9}{2} < {S}_{100} < 529<S100<5