问题
填空题
等比数列{an}的首项为a1=100,公比q=
|
答案
=f(n) f(n-1)
=an=100×(a1a2…an-1an a1a2…an-1
)n-1=1 2
,100 2n-1
当an≥1时,即2n-1≤100,n≤7时,f(n)单增,当an≤7时,即2n-1≥100,n≥8时,f(n)单减,
即当n=7时,f(n)有最大值.
故答案为7
等比数列{an}的首项为a1=100,公比q=
|
=f(n) f(n-1)
=an=100×(a1a2…an-1an a1a2…an-1
)n-1=1 2
,100 2n-1
当an≥1时,即2n-1≤100,n≤7时,f(n)单增,当an≤7时,即2n-1≥100,n≥8时,f(n)单减,
即当n=7时,f(n)有最大值.
故答案为7