সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=388$$ এবং সাধারণ অনুপাত: $$r=0.7422680412371134$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=388$$

$$a_2=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{2-1}=388\cdot {0.7422680412371134}^1=388\cdot 0.7422680412371134=288$$

$$a_3=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{3-1}=388\cdot {0.7422680412371134}^2=388\cdot 0.5509618450419811=213.77319587628867$$

$$a_4=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{4-1}=388\cdot {0.7422680412371134}^3=388\cdot 0.40896136951569734=158.67701137209056$$

$$a_5=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{5-1}=388\cdot {0.7422680412371134}^4=388\cdot 0.303558954692064=117.78087442052083$$

$$a_6=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{6-1}=388\cdot {0.7422680412371134}^5=388\cdot 0.22532211069926403=87.42497895131444$$

$$a_7=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{7-1}=388\cdot {0.7422680412371134}^6=388\cdot 0.16724940175615474=64.89276788138804$$

$$a_8=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{8-1}=388\cdot {0.7422680412371134}^7=388\cdot 0.12414388583962002=48.16782770577257$$

$$a_9=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{9-1}=388\cdot {0.7422680412371134}^8=388\cdot 0.09214803897373858=35.753439121810565$$

$$a_{10}=a_1·r^{n-1}=388\cdot {0.7422680412371134}^{10-1}=388\cdot {0.7422680412371134}^9=388\cdot 0.06839854439287812=26.538635224436714$$