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8() x . 3 ()
. 36 6( ) ()
7( )
1
155 ( ) 135 ( ) 125 ( ) 110 ( )
(
− 1 , 1,−1,2,−4,… )
42 231 − 2 ( ) )
( )
230 − 2 ( ) 230 − 1 ( ) 231 ( )
270 ( )
3 12 a,b,c (
S15
.an = 4 + 3(n − 1)
375 ( ) 350 ( ) 275 ( )
b ≠c a =c ( ) a ≠c a =b ()
a ≠b ≠c ( ) a =b =c ( )
a,b,c,d,e ( )
)
b + d = c a + e = 2c ( ) a + e = b + d = 2c ( )
b + d = 2c a + e = c ( ) b + d = 3c a + e = 2c ( )
(
128, 64, 32, 16,…, 1
512
21 ( ) 17 ( ) 16 ( ) 15 ( )
[MAΘ 2011] ( )
d