Mathematics
Senior High
Solved
解答で、赤で囲ってある式は必ず書かなければならないのでしょうか?
266 #
1
=√√k+2+√k+1
を求めよ。
66
1
√k+2+√√√k+1
√k+2 − √k+1
(√k+2+√k+1)(√k+2¬√k+1)
√k+2 -√√k+1
(k+2)-(k+1)
よって
TAR"
= √√√k+2 − √√√k+1
V
11
1
>
k=1₁√√√k +2+√√√k+1
n
=· Σ( √k +2 − √k+1}
k=1
=(√3 − √2)+(√4 − √3) + (√5 – √4)
-
-
+
+(√n+2 − √n+1)
=√√n+2-√2
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ありがとうございます!