题目

Do you know who Lewis Carroll is ? Yes! You are right . He is the writer of the famous story ----Alice’s Adventures in Wonderland. Many people described Lewis Carrol as shy . He wasn’t very good in social situations. He didn’t talk much . One of his college students even said his classes were extremely __________. But children thought very differently of him . When he was with children , he was funny and imaginative . He __________puzzles and games , and created stories that children loved . Those children included Alice , the daughter of a colleague , and her two sisters , Lorina and Ed已知正数数列{an}和{bn}满足：对任意（n∈N*），an，bn，an+1成等差数列，且， (1)求证：数列是等差数列；(2)设a1=1，a2=2，求{an}和{bn}的通项公式。