Question

已知數(shù)列{a_n}滿足遞推關(guān)系式a_n+1=2a_n+2ⁿ-1(n∈N^*),且{}為等差數(shù)列,則常數(shù)λ的值是__________________.

Answer 1

-1

解:∵數(shù)列{}為等差數(shù)列,

∴-應(yīng)為一常數(shù).

整理,得-=.∴-1-λ=0.∴λ=-1.