Hesaban f1[Www.riazisara.ir]
52
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Transcript of Hesaban f1[Www.riazisara.ir]
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www.riazisara.ir
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2
: ::::
1 : 2 3 ... n+ + + ++ + + ++ + + ++ + + +
:
1 2 3 12 1 2 1 1 2 1
1 1 2
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A n (n ) ...
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= + + += + + += + + += + + +
100n ! ====
:
(((( )))) (((( ))))
2 1 1 2 3 1n
n
S a (a d) (a d) ... a (n )d na ... (n ) d= + + + + + + + = + + + + + = + + + + + + + = + + + + + = + + + + + + + = + + + + + = + + + + + + + = + + + + +
: 1
1 2 12
(n )(n)... (n )
+ + + =+ + + =+ + + =+ + + =
1 2 1 2 1 1
2 2 2 2 2
nn
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: 2
2 1
2 2
nn
n(a a )n( a (n )d)S
+++++ + + + = == == == =
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1 1 2 11
1 2
n nn n n
n n
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S a a ... a
= + + += + + += + + += + + + = = = == + + += + + += + + += + + +
7: 16 20a a+ =+ =+ =+ . 22 =
:
7 16 6 15 2 21 20a a a d a d a d+ = + + + = + =+ = + + + = + =+ = + + + = + =+ = + + + = + = 20
2222 2 22 1
11 2 21 2202
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12 : 10, , ...
:
12 2 1 20 24 2 1 1 12 13
2n
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7. 30 5: 12a 5a ====
:
55 2 4
30 12 2 4 2 62
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++++= = = + + == = = + + == = = + + == = = + + =
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= + == + == + == + = = = = = + = = = = = + = = = = = + = = = = = + =
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3
nnSn n : 57 2 ====++++
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1257
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122
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============
====++++========
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ttd
SSt
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2 n: 2nS n n= += += += . +
:
:
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2 7 1 2 8 1 2 9 1 51( ) ( ) ( ) + + + + + = + + + + + = + + + + + = + + + + + = :
2 29 6 7 8 9 9 2 9 6 2 6 51S S a a a ( ) = + + = + + = = + + = + + = = + + = + + = = + + = + + =
1 3 : 2
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:
5
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1 9 5525 10
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8. 4 :
:
a a
a d (a d) a d a d
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2 8
7
7 2 8 0 4 0
2 4 2 12 4 8
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[ ( ) ]S
+ + + + = = = = = = = =
101 3 :
:
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17 3 990 3 2 1 101 0 2 1 33 0 16 3 9 99 17 51 867
2
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5 5 53 17 :
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a d d d+ = + = = =+ = + = = =+ = + = = =+ = + = = =36
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1752
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::::
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aq++++ 3 n... aq + ++ ++ ++ + 1
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. 1 :
:
1= 3
3
2 2=
3
4 3=
3 3 33 6
12 41
2
...+ + + = =+ + + = =+ + + = =+ + + = =
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3 3
34 41 3 3
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S = = == = == = == = =
:
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1
2
3
1
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.
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1000 . :
50 . 9/0
. 10000
:
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1 1000S ====
29
1000 100010
S = + = + = + = +
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S ( ) ( )
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= + + + + = + + + + = + + + + = + + + +
23
2 1
9 91000 1000 1000
10 10
9 9 91000 1000 1000 1000
10 10 10
:
50
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= = = =
:
1000 1000091
110
aS
q= = == = == = == = =
: .21
21 21 21 211000 21
1100 10000 1000000 991
100
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(
.
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0 21 2199 21
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x /x x
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==== = = = = = = = =
====
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38 5 34710000 385 0 38 0 005 0 0005 0 00005 0 38
1 100 900 9001
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:
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====
0 385 100 38 5 347900 347
9001000 385 5
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::::
:
.
:
1( 3 2 2
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: : : :
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P(x) B(x)P(x) B(x).q(x) r(x)
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= + = + = + = +
.
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P(x) (x a) q(x) r= += += += + x a==== x a==== :
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2 4 0 2x x+ = = + = = + = = + = = 7 4 32 2 2 6 2 3 2 1 256 96 24 1 377P( ) ( ) ( ) ( ) = + = = = + = = = + = = = + = =
. :
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4) 4a b a b++++ 4 40 0a b a b ( b) b+ = = =+ = = =+ = = =+ = = =
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7) 7a b a b 7 70 0a b a b a a = = = = = = = = = = = =
n :
0n na b (a b)q(x) = + = + = + = + 2 1 2 1 0n na b (a b)q(x)+ ++ ++ ++ ++ = + ++ = + ++ = + ++ = + +
:
1 2 11
1
1 2 2
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1
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n n
n n nn n
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x : x x + + + + 4 3 22 x 3 x + + + +2 5 4
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x x x x x ,
P( ) a b
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2 5 4 0 4 1 0 1 4
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4 : 33 2x x x + + + + 2 1x . ++++
:
x r(x) ( ) x( ) x x= = + = = = + = = = + = = = + = 2 21 1 3 1 2 4 1 2 x 1x = = = = 2 : x 1x = = = = 4x 2x
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:
x x x x
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3 22 2 2 1 8 4 3 0a( ) b( ) ( ) a b + + = + + = + + = + + = + + = + + = + + = + + = 19 19 29
8 4 4 3 0 12 19 0 412 12 12
a ( a) a a b + + = + = = = = + + = + = = = = + + = + = = = = + + = + = = = =
)))) : ))))xf 2x 5(((( )))) (((( ))))123 ++++++++++++==== xfxxxP 1++++x :
(((( )))) (((( ))))(((( )))) (((( ))))
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123 : 3 ++++++++==== axx)x(f 322 xx abx x++++2 x(f(
x====2
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aaa
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::::
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(a b)
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+ =+ =+ =+ =
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1
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n
+ = + + + ++ = + + + ++ = + + + ++ = + + + +
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5 4 3 2 2 3 4 55 5 5 5 52 2 3 2 3 2 3 2 3 31 2 3 4 5
( x) ( x) ( y) ( x) ( y) ( x) ( y) ( x)( y) ( y)
+ + + + ++ + + + ++ + + + ++ + + + +
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)921: : )x
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3
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5 4 3 2
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x)81 : x: )x
. ++++
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8 8 28 81k
k kx x
k kx
====
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8 8 7 6 570
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42: 3( x y)++++
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1x y= == == == 1 y x =
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2: 3 362 3n( ) b+ = ++ = ++ = ++ = . n b +
2 3 362 3n( ) b = = = = . b
:
:
1 2 22 3 2 2 3 2 3 31 2
n n n n nn n( ) ( ) ... ( )
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140 15 35, ( ,
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, : , , ...4 7 10 , , , ...1 5 9
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