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已知(F/A,10%,4)=4.6410,(F/P,10%,4)=1.4641,(F/P,10%,5）=1.6105,则（F/A,10%,5)为多少?
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已知(F/A,10%,4)=4.6410,(F/P,10%,4)=1.4641,(F/P,10%,5）=1.6105,则（F/A,10%,5)为多少?
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答案和解析
由于（F/a,10%,5）=(F/A,10%,4)(F/P,10%,1)+1
而（F/P,10%,1）=(F/P,10%,5)/(F/P,10%,4)=1.0999932
则（F/a,10%,5）=4.6410*1.0999932+1=6.1051
而（F/P,10%,1）=(F/P,10%,5)/(F/P,10%,4)=1.0999932
则（F/a,10%,5）=4.6410*1.0999932+1=6.1051
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