Mathematics
Senior High
Resolved
この丸をつけた所の計算方法が分かりません、、
(3k-2) (3k+4) 6 3k-2
3k+4/
n≧2のとき,
1
+
Sn = {(1-1) + ( 4-10) + (7-13).....
6
= 1/(1+1 -3n²+1-3n+4)
4
=
15
64
6n +5
(3n+1)(3n+4)
X
5(3n+1)(3n+4)-4(6n+5)
4(3n+1)(3n+4)
n(15n+17)
=
8(3n+1)(3n+4)
n(15n+17)
よって,
Sn=-
8(3n+1)(3n+4)
(2) 第k項の分母は, 1+2+ ...... + (+1)=
から,
2
2 1+1
ak= (k+1)(k+2)
k+2
(1
O
1/1/1
6
=
+(3n-5-3n+1)+(3n-2-3n+
=
1) /1
10-1
CHAS
(k+1)(k+2)
2
2
1+(k-
3n-
1
35-
1
3n.
1
3n.
である (2)分母が
ず,そ
an を求
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