Scheme For Finding The Next Term Of A Sequence Based On Evolution {File Closing Version 4}. ISSN

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1 Bagad, R. (207). Scheme For Fdg The ext Term Of A Sequece Based O voluto {Fle Closg Verso 3}. ISS PHILICA.COM Artcle umber 40. htt:// Scheme For Fdg The ext Term Of A Sequece Based O voluto {Fle Closg Verso 4}. ISS Abstract Auor: Ramesh Chadra Bagad Data Scetst ISOF (Iteratoal School Of geerg), Hderabad, Ida. rameshcbagad@uwalum.com Research Mauscrt I s research vestgato, e auor has detaled a ovel meod of fdg e ext term of a sequece based o voluto. Theor Gve a Sequece of e kd, S, 2, 3,...,, We frst wrte em as S, 2,,..., , where, s e umber of e Hgher Sequece Of Prmes whch e umber s slated,

2 Bagad, R. (207). Scheme For Fdg The ext Term Of A Sequece Based O voluto {Fle Closg Verso 3}. ISS PHILICA.COM Artcle umber 40. htt:// s e osto umber of e Prme Metrc Bass lemet. Here, s are Postve Itegers ad 0. For xamle, 7 whch s e 4 Prme Metrc Bass lemet of e Stadard Prmes, e [] of whch ca be take to. Therefore 7 ca be wrtte as. I a smlar fasho, 8 ca be wrtte as where 7 s e earest revous rme umber of 8 ad s e ext earest rme umber of 8. Here, e otato , we ca cosder 7 as e, e 4 as e ad e as e. We ca also deote a umber a smlar fasho usg Hgher Prmes as well. [].e.,. Gve, a meod of calculatg e Decmal (Pseudo) Prme corresodg to. If s equal to l to k, we wrte aa2a 3... k 0 a k a k where 0 a l 0 for

3 Bagad, R. (207). Scheme For Fdg The ext Term Of A Sequece Based O voluto {Fle Closg Verso 3}. ISS PHILICA.COM Artcle umber 40. htt:// aa2a of 3 of k... a 0 k a k Prmeumber Prmeumber Gve, a meod of calculatg e Decmal (Pseudo) Posto,.e., e Prme Metrc Bass lemet Posto corresodg to e Sequece of Sequece Of Prmes. We wrte e gve umber (Real) sa b a b c d where c,d at e equato holds roughl. We e fd e ostos of Sequece of Prmes, sa e are We e wrte e Posto of a as are some Prmes such c, d alog e l, m. as

4 Bagad, R. (207). Scheme For Fdg The ext Term Of A Sequece Based O voluto {Fle Closg Verso 3}. ISS PHILICA.COM Artcle umber 40. htt:// Prme Bass Posto of Sequece of Prmes Prme Bass Posto of Sequece of Prmes c d e e For Smlct, we ca take For our reresetatoal smlct, we label our S, 2, 3,...,, as S, 2, 3,...,, where e left sou subscrt dcates at ese umbers are at e level (Base) of e tragle we are gog to buld. We ow comute e voluto s where s e voluto. B voluto, we mea e dfferece betwee e Prme Bass Posto umber of (whe slated usl) ad e Prme Bass Posto umber of. gve at we are cosderg s. Ths meas at tmes to get eeds to be evolved. Please see [2] for voluto meod. We reeat s rocess tll we get. We ow evolve b oe

5 Bagad, R. (207). Scheme For Fdg The ext Term Of A Sequece Based O voluto {Fle Closg Verso 3}. ISS PHILICA.COM Artcle umber 40. htt:// ste usg [2] ad get ote at We reeat s rocedure, dowwards, reeatedl to fd 2. We llustrate s w a xamle of ree terms. Cosderg S, 2, 3 whch we wrte as S, 2, 3 for future reresetatoal smlct. 2 2, ow, we wrte 3. We ow evolve.e., erform 3 3. Ad ow, we wrte 2 3. Fall, we wrte, term of e sequece S, 2, 3 used advatageousl for forecastg. ote at 0 0 ad Refereces b oe ste usg [2], whch s e ext. Ths meod ca be , from [2]..Bagad, R. (206). Feld(s) Of Sequece(s) Of Prmes Of Postve Itegral Hgher Sace(s). PHILICA.COM Artcle umber 622.

6 Bagad, R. (207). Scheme For Fdg The ext Term Of A Sequece Based O voluto {Fle Closg Verso 3}. ISS PHILICA.COM Artcle umber 40. htt:// htt://hlca.com/dsla_artcle.h?artcle_d=622 2.Bagad, R. (207). Oe Ste voluto Of A Postve Real umber. ISS PHILICA.COM Artcle umber 06. htt://hlca.com/dsla_artcle.h?artcle_d=06 3.htt:// htt://