Mathematics
Senior High
Resolved
⑴と⑶の展開の仕方を教えていただきたいです。
★[改訂版キートレーニングIIIAB受 Get Ready488]
次の和を求めよ
1) 2R+1)
(2) 2n-24-1
k=1
k=1
(3) 1-2+3·4+5·6+ +(2n-1)-2n
解説)
(1) (与式)=D 2(+)=(カ+1(2n+1)+ラ三ュ+1)=D={n+1)(2n+1)+3}
k=1
1
=(n+1(2n+4)=={n+1(n+2)
2"-1
(2)(与式)=n24-1=n
=n(2"-1)
2-1
k=1
れ
(3) (与式)=2(2k-1)-2k= 2(44?-24)=4ミコ+1)2n+1)-2--Hの+1)
k=1
=(カ+1}2(2n+1)-3)=寺川カ+1(4m-1)
n+1)4n-1)
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