সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=1.2727272727272727$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{2-1}=88\cdot {1.2727272727272727}^1=88\cdot 1.2727272727272727=112$$

$$a_3=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{3-1}=88\cdot {1.2727272727272727}^2=88\cdot 1.6198347107438016=142.54545454545453$$

$$a_4=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{4-1}=88\cdot {1.2727272727272727}^3=88\cdot 2.061607813673929=181.42148760330576$$

$$a_5=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{5-1}=88\cdot {1.2727272727272727}^4=88\cdot 2.6238644901304555=230.9000751314801$$

$$a_6=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{6-1}=88\cdot {1.2727272727272727}^5=88\cdot 3.3394638965296704=293.872822894611$$

$$a_7=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{7-1}=88\cdot {1.2727272727272727}^6=88\cdot 4.250226777401399=374.0199564113231$$

$$a_8=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{8-1}=88\cdot {1.2727272727272727}^7=88\cdot 5.409379534874508=476.0253990689567$$

$$a_9=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{9-1}=88\cdot {1.2727272727272727}^8=88\cdot 6.884664862567555=605.8505079059448$$

$$a_{10}=a_1·r^{n-1}=88\cdot {1.2727272727272727}^{10-1}=88\cdot {1.2727272727272727}^9=88\cdot 8.762300734176888=771.0824646075662$$