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an/2ⁿ=1/2n-1/2+(1/2)ⁿ

1/2=2⁻¹として、
an/2ⁿ=2⁻¹n-2⁻¹+2⁻ⁿ

両辺2ⁿ倍して
an=2ⁿ・2⁻¹n-2ⁿ・2⁻¹+2ⁿ・2⁻ⁿ
 =n2ⁿ⁻¹-2ⁿ⁻¹+1

2ⁿ⁻¹でまとめて
 =2ⁿ⁻¹(n-1)+1

ひまわり

ありがとうございます!!

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