সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=0.9090909090909091$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{2-1}=88\cdot {0.9090909090909091}^1=88\cdot 0.9090909090909091=80$$

$$a_3=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{3-1}=88\cdot {0.9090909090909091}^2=88\cdot 0.8264462809917354=72.72727272727272$$

$$a_4=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{4-1}=88\cdot {0.9090909090909091}^3=88\cdot 0.7513148009015777=66.11570247933884$$

$$a_5=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{5-1}=88\cdot {0.9090909090909091}^4=88\cdot 0.6830134553650706=60.105184072126214$$

$$a_6=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{6-1}=88\cdot {0.9090909090909091}^5=88\cdot 0.620921323059155=54.64107642920564$$

$$a_7=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{7-1}=88\cdot {0.9090909090909091}^6=88\cdot 0.5644739300537773=49.6737058447324$$

$$a_8=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{8-1}=88\cdot {0.9090909090909091}^7=88\cdot 0.5131581182307067=45.15791440430219$$

$$a_9=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{9-1}=88\cdot {0.9090909090909091}^8=88\cdot 0.4665073802097333=41.05264945845653$$

$$a_{10}=a_1·r^{n-1}=88\cdot {0.9090909090909091}^{10-1}=88\cdot {0.9090909090909091}^9=88\cdot 0.4240976183724848=37.32059041677866$$