80÷(1+8%)+80÷(1+8%)²+80÷(1+8%)³+80÷(1+8%)4次方+80(1 10
80÷(1+8%)+80÷(1+8%)²+80÷(1+8%)³+80÷(1+8%)4次方+80(1+8%)5次方+1000÷(1+8%)5次方=...
80÷(1+8%)+80÷(1+8%)²+80÷(1+8%)³+80÷(1+8%)4次方+80(1+8%)5次方+1000÷(1+8%)5次方=
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1个回答
2017-01-08
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80÷(1+8%)+80÷(1+8%)^2+80÷(1+8%)^3+80÷(1+8%)^4+80÷(1+8%)^5+1000÷(1+8%)^5
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+80÷1.08^5+1000÷1.08^5
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+(80+1000)÷1.08^5
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+1080÷1.08^5
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+1000÷1.08^4
=80÷1.08+80÷1.08^2+80÷1.08^3+1000÷1.08^3
=80÷1.08+80÷1.08^2+1000÷1.08^2
=80÷1.08+1000÷1.08
=1080÷1.08
=1000
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+80÷1.08^5+1000÷1.08^5
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+(80+1000)÷1.08^5
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+1080÷1.08^5
=80÷1.08+80÷1.08^2+80÷1.08^3+80÷1.08^4+1000÷1.08^4
=80÷1.08+80÷1.08^2+80÷1.08^3+1000÷1.08^3
=80÷1.08+80÷1.08^2+1000÷1.08^2
=80÷1.08+1000÷1.08
=1080÷1.08
=1000
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