问题
选择题
在1和256之间顺次插入三个数a,b,c,使1,a,b,c,256成一个等比数列,则这5个数之积为( )
A.218
B.219
C.220
D.221
答案
因为1,a,b,c,256成等比数列
根据等比数列的性质得:b2=ac=1×256,a2=1×b>0,
则b=16,ac=256
∴这5个数之积为256×256×16=28×28×24=220
故选C.
在1和256之间顺次插入三个数a,b,c,使1,a,b,c,256成一个等比数列,则这5个数之积为( )
A.218
B.219
C.220
D.221
因为1,a,b,c,256成等比数列
根据等比数列的性质得:b2=ac=1×256,a2=1×b>0,
则b=16,ac=256
∴这5个数之积为256×256×16=28×28×24=220
故选C.
完形填空。 | |||
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