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                               ‫2 + ‪2n‬‬           ‫2‬
       ‫= 1+ ‪ un‬ﻟﻜﻞ ‪ n‬ﻣﻦ * ‪IN‬‬          ‫ﻧﻌﺘﺒﺮ اﻟﻤﺘﺘﺎﻟﻴﺔ اﻟﻌﺪدﻳﺔ * ‪ (U n )n∈IN‬اﻟﻤﻌﺮﻓﺔ ﺑﻤﺎ ﻳﻠﻲ: = 1 ‪ u‬و ‪un‬‬
                                ‫‪3n‬‬              ‫3‬
                                                                                         ‫1‬
                                                                 ‫وﻧﻀﻊ: ‪ vn = un‬ﻟﻜﻞ ‪ n‬ﻣﻦ * ‪. IN‬‬
                                                                                         ‫‪n‬‬
                                                                                   ‫1- اﺣﺴﺐ : 2 ‪. u‬‬
                                                     ‫2- أ- ﺑﻴﻦ أن اﻟﻤﺘﺘﺎﻟﻴﺔ * ‪ (vn )n∈IN‬هﻨﺪﺳﻴﺔ.‬
                                                   ‫ب - اآﺘﺐ ‪ V n‬ﺑﺪﻻﻟﺔ ‪ n‬ﺛﻢ اﺳﺘﻨﺘﺞ ‪ u n‬ﺑﺪﻻﻟﺔ ‪.n‬‬
                                             ‫‪u1 u u‬‬           ‫‪u‬‬
                                        ‫3- اﺣﺴﺐ ﺑﺪﻻﻟﺔ ‪ n‬اﻟﻤﺠﻤﻮع : ‪S n = + 2 + 3 + ... + n‬‬
                                             ‫3 2 1‬             ‫‪n‬‬

				
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