Page 246 - aljaber

RSS@ @pþÝn¾aì@pbÉibnn¾a

r ≠ 0 a1 ≠ 0 {an } [AHSME 1955] ( )

{cn } .b1 = 0 {bn } )
)
.n ≥ 1 cn = an + bn :

1, 1, 2, … cn

1068 ( ) 978 ( ) 557 ( cn

S2k +1 Sn ) 467 ( )
[AHSME 1958] (
(k − 1)3 + k 3 ( ) .k2 + 1
(2k + 1)(k + 1)2 ( ) k 3 + (k + 1)3 ( )
(k + 1)3 ( )
3n 2n n S3n S2n [AHSME 1960] (
a
.d

S3n − S2n − Sn

and ( ) an2d ( ) n2d ( ) 2n2d ( )