1
!"#$% serie n°1 & ( ( ) n u r ( ) n v ( ) n w n n n 3 1 v u 5 2 = - n 3n w u 7 = + ! n (v ) n (w ) "#$%& ()! * & ( ( ) n u ( ) n v n 0 n n1 n u 2 1 2u u u + = -+ = n n 1 v u 1 = - )) ( ) n v )) # n v +, n u - n . * ! n n lim u →+∞ & * ( )) & ! /# 6 10 14 1002 S ..... = + + + + 3 7 11 999 T ..... = + + + + )) 012 !# ( ) 1 4 7 3 1 n S ..... n = + + + + + - n ! /. * !+, 1 4 7 2008 X ... = + + + + & + ( ( ) n u *3 3 1 u 2 =- )) # n u - n )) 012 !# 1 2 7 u u ...... u + + + * )) ( ) n v 45 n 2n n ,v u = 012 !# 1 2 n v v ..... v + + + & , ( n (u ) n (v ) 45 1 n1 n u 1 u 2u 3 + = = + n n v u 3 = + )) 6, ! n (v ) "#$%&*3 )) n v +, n u - n . * ! n n lim u →+∞ * )) # n 1 2 n S v v ..... v = + + + . * !+, n n lim S →+∞ + )) !7 2 !# n 1 2 n T u u ...... u = + + + 2 2 2 n 1 2 n u u ...... u = + + + Σ & - ( ( ) n u ( ) n v n n n 3 2 4n 3 u 2 × - + = n n 3 2 4n 3 v 2 × + - = )) ( ) n w ! ! n n n w u v = + 3 ( ) n w *3 )) ( ) n t ! ! n n n t u v = - 3 ( ) n t * )) - !012 ! n n 0 1 n S u u ...... u = + + + & ( ( ) n u ( ) n v n 0 n1 n u 1 1 u u n 1 3 + = = + - n n v 4u 6n 15 = - + )) 3 ( ) n v "#$%&*3 )) # 0 v #+, n v - n . * ! n n 19 1 6n 15 n ,u 4 3 4 - ∀∈ = × + * )) ! 3 n (u ) ’8 !9$’& n n n u t w = + 4 n t *3 n w + )) # n 0 1 n T t t ... t = + + + n 0 1 n W w w ... w = + + + . * :+, n 0 1 n U u u ..... u = + + + & . ( a b 1 ; ;! " !<= n (u ) $& 0 1 n 2 n 1 n u a ,u b u u 6u , n + + = = = + ∀∈ ! = ( ) n v ( ) n w ! n n n 1 n v u 3u + = - n n 1 n w u 2u + = + )) 3 ( ) n v *3 2 - >)! 3 0 v b 3a = - # n v - n ? a b )) 3 n (w ) #+,*3 n w - n ? a b * )) @A . * ! n u - n ? a b # n n lim u →+∞ & / ( ( ) n u ( ) n v n 0 1 n 2 n 1 n u 0 ,u 1 1 2 u u u 3 3 + + = = = + n n1 n v u u + = - )) 3 n (v ) #*3 n v - n )) # n 0 1 n1 S v v ..... v - = + + + . * !+, n u - n * )) # n n lim u →+∞ & ( ! = ( ) n u ( ) n v ! 0 n n 1 u 2 u 2u 2n 3 + = - = + n n v u bn 1 = + - )) 1&B= b !B$ 1’" ( ) n v >)! 3C &5"#$%&*3 )) n v +, n u - n * )) # n 0 1 n S u u ..... u = + + + !+, . * n 2 n S lim n →+∞

المتتاليات العددية 1 مراجعة المتتاليات الهندسية والحسابية.pdf

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  • !"#$% serie n1

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