✨ Best Answer ✨
分母=1+2+3+…n=nΣk=1(1/2k(k+1))
nΣk=1(1/1/2k(k+1))
2nΣk=1(1/k(k+1))
2nΣk=1(1/k-(1/k+1))
部分和
2×((1-1/2)+…(1/n-(1/n+1)))
2×(1-1/n+1)
2×n/n+1
=2n/n+1
この和Sを求めてください。お願いしますm(_ _)m
✨ Best Answer ✨
分母=1+2+3+…n=nΣk=1(1/2k(k+1))
nΣk=1(1/1/2k(k+1))
2nΣk=1(1/k(k+1))
2nΣk=1(1/k-(1/k+1))
部分和
2×((1-1/2)+…(1/n-(1/n+1)))
2×(1-1/n+1)
2×n/n+1
=2n/n+1
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