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1 2 .4
1 ,
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A . +, = 4 '40N.(,
= 4 + 1 23
B , +,=!'5(
= 4 + 1 23
C . +, =24+1 '4CN+(,
= 4 + 1 23
D . +,=9':(
= 4 + 2 23
; < ABC =A + 1 >?***@ABCD =DE4 + 2 E.
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2 .
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=&MNOPQR' (
A. 2 B. 3 C. 5 D. 6
;< V W X m =2, 3, 5 , Z[\
]^.
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3 . J K > _ ` /a " + l 'w0N"(, de&
fghij
'1(= 1 q / + i mi + L >_`23.
'2(+,=9'4oNp 42 1 (>_`23](/ + K A + 1 , r = 4 + 1
' k~\~ 1 k + 1 = ^ * + 3 4 + 2 u M + 3 . + 2 + k+2 =
7 A + 2 ~
= 'A+l( + 1 ,
, = A + 1 >_`23ryz
' (.
A . fg{|%
B. 77=1\}>%
C . +,>%
D . ~ = 4 + 1 &>%
;< != 4 + 1 CQ = A &+,>.
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1 _ / + 2
4.
“l + a + 0 +
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n = l 23D Q ] )
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;<n = l D= l + a + a ? , ³C.
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4 I 2
5 .
1 + 2 + 3 +
+ 6 = ] ^ , r = A + 1 DQ! = A
&yy( ).
A . µ+1
B. (4+1)2
(k+l)4 + (k+l)2
2
D . (2+1) + (+2) + ( +3)+
+ : + 1)2
; < = 4 D= 1 + 2 + 3 +
+
n = k + \
D= 1 + 2 + 3 +
+ + D +1) +
+ (4+1):
= 4 + 1 DQ!=!&yy
( + 1) + (+2) + (+3) +
+ (4+1)2.
F G D
6 . i`(=40N,)9 & ( )
A. 6+6 7* B. 2+7
C. 2(2 + 7*+l) D. 3(2 + 7*)
; < (1) = 1 BC3(2+799 .
(2)+,¡=(0") 23] 3(2+7”)9
¢£ 3(2+7.)=21(2+7¤) - 36.
¥¦§4= +1 ¨23.
©(1)(2)^ª J«¬AEN"L23.
F G D
7 .
1)+m®+
+ # ° " = 4 7 + ± +
+ ®r
2 3 4 - 1 /? z? 1 ZZ?
= 4 + 1 DQ!= 4 &yy( ). : .
A 24+2 B - 2)+2
C¶ ----1--- -1----- --- n ----1- -- 4. -----1---
2A+1 2k+2 2+ l 2A+2
; < , = A D= 1 J + J % ---- · 1
= 4 + 1
Z O 4 LK- 1 k
1 J 1 , , 1 1 , 1 1
¸¹ 2 3 4 2 k -\ 24 24+1 2k+2'
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8 . J¼K½_K2 &¾ ¿&[ÀÁChiV;À`j
22=1+3, 32=1+3 + 5, 42=1+3 + 5 + 7 23= 3+ 5, 33=7+ 9+11,
43=13+15 + 17+19.
ÂÃyzV;ÄÅÆ À =1 + 3 + 5 + + 1 9 ,Ç È M)&V;=ÉÊ&21,
r m+n&OE________.
; < Z Ì } //J X Í9 n o¤,
Î
Ï , . m m- 1
A/7 = 1 0 .Ъ /= 2 1 ¿+---------X2,
Î
}(Ñ5)(%+ 4 ) = 0 ,ÒWN*ÓÔ= 5 , ÓÔ+=15.
F G 15
9 .
j
1 X3 + 3X5H h (2 n -l) (2n+1) = 2 (2n+1);
n = k + 1 _`¨23
y + , Ö × Ø
& _ ` .
; < n=k + l
I2 22 F (k + 1”
1X3+ 3X5Ù
Ù(2kl) (2 k + l)+ (2k+l) (2k+3)
_ k(k+ l) (k + l)Ú
2 (2 k + l)+ (2k+ l) (2k+3) : .
M n ÛT E k(k+D | (k+l)2
³¶Þ
2(2k+l) + (2k+l) (2k + 3)
(k+1) (k+2)
2(2k + 3 ) ]^.
ßà k(k+l) (k+l)’ _ (k + l)(k + 2)
Ïâ 2(2k+l)+ (2k+l) (2k+3) 2(2k+3)
10 . hiä!åæaçè=~yéiêC(,0N*)ë!¥ì=í1
&îïð
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
;< ÓCîïðS=2° +2+2/+
+ 2 ”r=2" - 1,
ô 1 &ð 2, 1(2-1)=2"2.
F G 2"-2
11 . !õa ö=& = 1p =(2- 1 ) & , ø f ù ú & &, ûü&&@
O
ý`
; < = 2 & 1þ=6h ] þ =y ÿ
=3 + " + = 1533,
=(( +&)=5
/7=4 +/+ + =28,
= * ( ++)= .
1 1 1 1 1 1 1
4=§=]><3' "2=& = 3'5‘ ) =* =5><7'= 7X9' : .
1
-./3n=
2 7?- 1 2/?+1
01 a n= 2 n - l 2z?+l
12 . 23456789":;<=3/ + / > ? x + y @ A "BCD
EF =241(40N")GH;IJ*K8= GHLI.
M N ; < = 3 EF =241 OPQK89R; = 2 4 + 1 OP.
0 1 0 +1
STM0H
13 . 23456789UVWX
l2- 2 2+ 32- 4 2+ - + ( - l ) fl- - 4 = (Y1Z [ 1
8 9 (1) = 1 \]= F = 1 ,
IX 1 + 1
^]= ( - 1 ) °
,_WXOP.
(2)EF= a (0N*, Q 1 ) ,WXOP
` 12- 2 2+ 32- 4 2+ - + ( - 1 ) * _, 6
= ( -
ab= 4 + 1 c`
12- 2 2+ 32- 4 2+ - + ( - 1 ) * - 1 - d+(-1)& (4+1)2
k kA-1 2
= ( i) J : + (> a + i )
1
= ( 1 )3 e [ - 4+2(A +l)]
k A+l A+2
= ( - 1 )
2
.,= 4 + 1 WXhOP
i(1)(2)j k l m `
1 2 + 3 2 - 4 n o+ ( - 1 Z 4 = ( - 1 p q : .
1 4 .rs3t4 uat=a(a2), kYvWN*, &0, a+w =
2 an- l
x8yq2z;+1Vq.
8 9 7 Y , { = 2 3 |}
6 6 1 9
2 0 ,
2 an-\ \
4 2 2 .~ &= 2 , c &T =2,
i;-2 = 2 ,o
=2,
[ d = a2-;2.
.. an 2 - an
6 a#ia,=7j i V0,
2 an- \
a+i v4.
7 C 23456789;>2
= 1 a^ = a > 2 ,-GHa> 2 OP
EF=2 1 z G H O P
&2 2
;> 2 , 3Bb1X2 j X2= ~ j >0.
z ak- 1 z ak- 1
a + i2 ,= 4 + 1 GHhOP.
GH;2kYv<***@3OP.
;+1V%89.
1 5 .s3t4 u=1, an+ = c.
;
5 I
1F = 5 bn= - x3t4 X
2 a 2
xWX;Va+i V 3 OPc ¡.
e l / T - 5 1 ¤ 4 2 1 2an 4 ,
MN D&+L 2=5_7_2= 2 , ~ Y [ = _ 2 = .1 2+
¥ C*n ¥“ N/rH ¥ ¥ C*n ¥
1=44+2.
2 / 2 T 1
+1+¨=4 4 + ©= 1 , = -----z = - 1,
O \ o 31Z : .
ª « ; Y ¬ ;4 W3t
o J
2 1 Z 2
4 + ¨=Y¨¯4" bn= ° z - -
<5 <5 J <5
2²d] = l, &z = c - 1, i >4 j > 2.
23456789y c > 2
3 ²=1 a2= c - ->5
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