一個幾何級數(shù)中,第一項比第二項大32,第二項與第三項的和是48,求這個級數(shù)的無窮和.
設(shè)幾何級數(shù)的前三項是a,aq,aq^2,則
a-aq=32,aq+aq^2=48,解得
a=8,q=-3,這時無窮和發(fā)散,
a=64,q=1/2,這時a+aq+aq^2+...=64/(1-1/2)=128.
in a certain geometric sequence the first term exceeds the second term by 32 and the sum of the second and third is 48,f
in a certain geometric sequence the first term exceeds the second term by 32 and the sum of the second and third is 48,find the infinite sum of rhe sequence
數(shù)學(xué)人氣:846 ℃時間:2020-05-12 13:05:10
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