已知数列{a_n}满足a₁=1，a₂=λ（λ＜3且λ≠-2），且a_n+2=a_n+1+6a_n．（n∈N^*）．

（1）证明：数列{a_n+1+2a_n}与数列{a_n+1-3a_n}都是等比数列；

（2）若a_n+1＞a_n（n∈N^*）恒成立，求λ的取值范围．

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A. has been to

B. has gone to

C. was in

D. went to