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GB n‡jv AvPvh© cÖdzjøP‡›`Öi Rxe‡bi g~jgš¿| 1924 mv‡j hLb fviZe‡l© imvqbwe`‡`i cÖ_g mvi ̄^Z msMVb BwÛqvb ‡KwgK ̈vj ‡mvmvBwU cÖwZwôZ nq AvPvh©
Zvui cÖ_g mfvcwZ wnmv‡e `vwqZ¡fvi MÖnY K‡ib| mvgvwRK I ivR‰bwZK Kv‡R GwM‡q Avmvi mgqI, Zvui fvlvq Ò1920 Ges 1926 mv‡j h_vμ‡g PZy_© I cÂgevi wejvZ ågY Kwiqv AvwmqvwQ|Ó
‡ivRKvi cÖwZwU gyn~Z©‡K Kv‡R e ̈envi K‡i Ò`k ̧Y ‡ewk KvRÓ Kivi A`g ̈ Drmvn AvPvh© cÖdzjøP›`Ö ivq a‡i ‡i‡LwQ‡jb 1944 mv‡ji 16B Ryb ch©šÍ| ‡mwU wQj Zvui Rxe‡bi ‡kl w`b| •
‡jLK wewkó ‡jvKweÁvb cÖPviK| B‡gj: chakrabhu@gmail.com
Z„Zxq c„ôvi ci...
a, ar, ar2, ar3, ..., arn – 1, ...
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As I was going to St. Ives,
I met a man with seven wives, Every wife had seven sacks,
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Z‡e MwY‡Zi cMÖ wZ wb‡q eþa ̧‡ßi KvR
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cvÖ Äj| eþa ̧‡ßi eva þùUy wm×všÍ (628 Lxa t), gnvex‡ii MwYZmvi msMnÖ (850 Lxa t), kxÖ cwZi wm×všÍ‡kLi (1039 Lxa t) I wØZxq fv ̄‹‡ii jxjveZx (1150 Lxa t) cfÖ w... Z M‡Ö š’ cMÖ wZ m¤úwKZ© mgׄ KvR Av‡Q| •
‡jLK wewkó MwYZÁ I weL ̈vZ RbweÁvb cÖPviK| B‡gj: satyabachisar@gmail.com
Ges c_Ö g n c‡`i mgwó S = a(rn – 1) [r ≠ 1]
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‡`Iqv hvK|
(1) 1 + 2 + 3 + ... ... + n = n(n+1) [cÖ_g
2
(2) 12 + 22 + 32 + ... ... + n2 = n(n+1)(2n+1)
n
̄^vfvweK n msL ̈vi mgwó]
[cÖ_g ̄^vfvweK n msL ̈vi e‡M©i mgwó]
6 (3) 13 + 23 + 33 + ... ... + n3 = [n(n+1)]2
2
[cÖ_g ̄^vfvweK n msL ̈vi Nbi mgwó]
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