已知数列{a_n}中，点（a_n，a_n+1）在直线y=x+2上，且首项a₁是方程3x²﹣4x+1=0的整数解．

阅读下列材料，回答问题。

材料一：2014年4月23日是“世界读书日”，而今年受欧债危机就业困难的影响，除了极少数省份的高考报名人数比去年稍有增长之外，中国大多数省份的高考人数出现了减少状况，个别省份的下降幅度甚至超过了10%，新的“读书无用论”在一些农村和校园里蔓延。

材料二：在谈到农村当前发展中仍然存在的问题时，小明的爷爷反映：现在的村民物质生活富裕多了，但业余生活仍然很单调，连找个读书的地方都难，而赌博、迷信活动有所抬头，社会风气有待进一步净化。

A Book Review—The Snake-Stone by Berlie Doherty

    The setting: Urban England (the cities), but also rural England (the countryside) including remote English villages.

    The theme: The main theme is a teenage search of self-discovery, in this case the search for a mother from whom the hero was separated at an early age. Its other concerns are love, getting on with others, being persistent and courageous and trying to deal with doubts, troubles and worries. As the book moves to a close, James' swimming coach says to him: “You are not like a kid obeying instructions any more. You are diving like a young man who knows where he is going.”

    The characters: James is the hero of the story. He is a championship diver, and has a comfortable life with his foster parents (养父母). Yet he also has the qualities to take him on a long journey to find his birth mother. The other characters in The Snake-Stone, James' parents, his diving instructor, best friend, the villagers, people he meets on his journey, are pictured realistically.

    The turning point: The turning point in the story comes while James' foster parents are away in London, and he wonders about the identity of his birth mother. The only clue he has is a fossil, “the snake stone” which she left behind along with a note on which she had written: “Take good care of Sammie. It was written on a torn envelope with parts of an address still there.

    The journey: Instead of going to London, James decides to find his birth mother. With help from his geography teacher, James sets out for the remote country village where his mother might be found. James has painful, challenging, but also humorous and happy travels. The mother he finally meets, Anne, has a minor yet powerful voice in the novel. He comes to understand why she left him at a stranger's door fifteen years before. Although the meeting is not long, it leaves him with a feeling of completeness. As a journey of self-discovery The Snake-Stone also provides its readers with a happy ending. Its hero says, on returning to his foster parents, “I was home.”

中国在追求本国利益的同时,兼顾别国合理关切,坚持走和平发展道路。2013年3月,******在访问非洲期间,宣布未来3年内向非洲提供200亿美元贷款,在力所能及的范围内帮助其他国家发展。中国真诚致力于推动国际关系更加民主化、国际秩序和国际体系更加公正合理发展。

从政治生活角度分析我国政府为什么要致力于走和平发展道路,推动建立公正合理的国际新秩序。