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8.2 cybive„wËg~jK ¸Y

               ‡hv‡Mi †ÿ‡Î cybive„wËg~jK c×wZ e¨envi K‡i wewfbœ iKg MYbv m¤¢e, hv c~‡e© †`Lv‡bv n‡q‡Q| ¸Y mn Ab¨vb¨
               cÖwµqvi Rb¨I cybive„wËg~jK c×wZ e¨envi Kiv hvq| ¸Y cÖwµqvi cybive„wË Ki‡Z _vK‡j djvd‡ji m~PKxq

               (Exponential) e„w× Lye `ªæZ N‡U, hvi MwY‡Z A‡bK e¨envi i‡q‡Q| D`nviY wn‡m‡e K¨vjKz‡jU‡i 3 †_‡K ïiæ
               Kiv n‡jv|








               Gici 4 Øviv ¸‡Yi cybive„wËg~jK c×wZ m~Pbv Kiv n‡jv| cÖwZevi = Pvcvi mv‡_ mv‡_ K¨vjKz‡jUi c~‡e©i
               djvd‡ji mv‡_ 4 ¸Y K‡i djvdj cÖ`k©b Ki‡e|









                              1
               1 ‡_‡K ïiæ K‡i   Øviv cybive„wËg~jK ¸Y Ki‡Z _vKv nq Zvn‡j cÖvß djvdj ¸‡jv n‡e 3 Gi FYvZ¥K Nv‡Zi
                              3
               gvb hv wb‡Pi w¯Œ‡b †`Lv‡bv n‡jv-











               8.3 Abyµg

               KZ¸‡jv ivwk‡K GKwU we‡kl wbq‡g Zvi c~e©c` I cic‡`i mv‡_ m¤úwK©Z K‡i mvRv‡j ivwk¸‡jvi †h †mU cvIqv
               hv‡e Zv‡K Abyµg e‡j| MwY‡Z Abyµg MV‡bi Rb¨ GKwU wbw`©ó wbqg AbymiY Ki‡Z nq| mvaviYZ µgvbyhvqx
               cÖ‡Z¨KwU c‡`i c‡i Ô,Õ w`‡q Abyµg cÖKvk Kiv nq| D`vniY¯^iƒc,

                                             3, 6,9,12, … … … … ….GKwU Abyµg


               Ges 3 Gi Nv‡Zi GKwU Abyµg n‡jv-
                                                                   1
                                                                      2
                                                               0
                                        1, 3, 9, 27, … … … … (3 , 3 ,3 … … … … . . )
               Avevi Abyµg‡K mvaviY c‡`i mvnv‡h¨ cÖKvk Kiv hvq| Dc‡i eY©bvK…Z cÖ_g D`nvi‡Yi 3, 4, 5, … . … .. mvaviY
               c` n‡j    = 2 +    ‡hLv‡b    ¯^vfvweK msL¨v|
                          
               3 Gi NvZ wewkó Abyµg‡K mvaviY c‡`i mvnv‡h¨ †jLv hvq-

                         
                   = 3 ,       = 0, 1, 2, 3, … … …
                   





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