請(qǐng)幫我解答一下，最好連過程．謝謝先了！

熱心網(wǎng)友

設(shè)數(shù)列{a(n)}的第一項(xiàng)a(1)=1且滿足a(n+1)=a(n)+1/a(n),則它的第５項(xiàng)的數(shù)值是？解：由a(n+1)=a(n)+1/a(n),和a(1)=1，有：a(2)=a(1)+1/a(1)=2a(3)=a(2)+1/a(2)=5/2a(4)=a(3)+1/a(3)=29/10a(5)=a(4)+1/a(4)=841/290