সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=89$$ এবং সাধারণ অনুপাত: $$r=0.8314606741573034$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=89$$

$$a_2=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{2-1}=89\cdot {0.8314606741573034}^1=89\cdot 0.8314606741573034=74$$

$$a_3=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{3-1}=89\cdot {0.8314606741573034}^2=89\cdot 0.6913268526701175=61.528089887640455$$

$$a_4=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{4-1}=89\cdot {0.8314606741573034}^3=89\cdot 0.5748110909841426=51.158187097588694$$

$$a_5=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{5-1}=89\cdot {0.8314606741573034}^4=89\cdot 0.4779328172227703=42.53602073282656$$

$$a_6=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{6-1}=89\cdot {0.8314606741573034}^5=89\cdot 0.39738234240994386=35.367028474485004$$

$$a_7=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{7-1}=89\cdot {0.8314606741573034}^6=89\cdot 0.3304077903183803=29.406293338335846$$

$$a_8=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{8-1}=89\cdot {0.8314606741573034}^7=89\cdot 0.27472108408494544=24.450176483560146$$

$$a_9=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{9-1}=89\cdot {0.8314606741573034}^8=89\cdot 0.22841977777849395=20.329360222285963$$

$$a_{10}=a_1·r^{n-1}=89\cdot {0.8314606741573034}^{10-1}=89\cdot {0.8314606741573034}^9=89\cdot 0.189922062422568=16.903063555608554$$