已知数列{an}满足an+1=an2-2(n∈N*),且a1=a,a2015=b(a,b>2)则a1a2a3……a2014=________等式左边是第n+1项,右边是第n项的平方减2
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![已知数列{an}满足an+1=an2-2(n∈N*),且a1=a,a2015=b(a,b>2)则a1a2a3……a2014=________等式左边是第n+1项,右边是第n项的平方减2](/uploads/image/z/942387-51-7.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3an%2B1%3Dan2-2%28n%E2%88%88N%2A%29%2C%E4%B8%94a1%3Da%2Ca2015%3Db%28a%2Cb%3E2%29%E5%88%99a1a2a3%E2%80%A6%E2%80%A6a2014%3D________%E7%AD%89%E5%BC%8F%E5%B7%A6%E8%BE%B9%E6%98%AF%E7%AC%ACn%2B1%E9%A1%B9%2C%E5%8F%B3%E8%BE%B9%E6%98%AF%E7%AC%ACn%E9%A1%B9%E7%9A%84%E5%B9%B3%E6%96%B9%E5%87%8F2)
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已知数列{an}满足an+1=an2-2(n∈N*),且a1=a,a2015=b(a,b>2)则a1a2a3……a2014=________等式左边是第n+1项,右边是第n项的平方减2
已知数列{an}满足an+1=an2-2(n∈N*),且a1=a,a2015=b(a,b>2)则a1a2a3……a2014=________
等式左边是第n+1项,右边是第n项的平方减2
已知数列{an}满足an+1=an2-2(n∈N*),且a1=a,a2015=b(a,b>2)则a1a2a3……a2014=________等式左边是第n+1项,右边是第n项的平方减2
令a1a2a3……a2014=x显然x>0,则 由题意可得如下两点①an+1 +2=an^2②an+1 -2=an^2-4=(an -2)(an +2),那么故x=根号下(b^2 -4)/(a^2 -4)
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