সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=88$$ এবং সাধারণ অনুপাত: $$r=1.0454545454545454$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=88$$

$$a_2=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{2-1}=88\cdot {1.0454545454545454}^1=88\cdot 1.0454545454545454=92$$

$$a_3=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{3-1}=88\cdot {1.0454545454545454}^2=88\cdot 1.09297520661157=96.18181818181817$$

$$a_4=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{4-1}=88\cdot {1.0454545454545454}^3=88\cdot 1.142655897821187=100.55371900826445$$

$$a_5=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{5-1}=88\cdot {1.0454545454545454}^4=88\cdot 1.1945948022676045=105.1243425995492$$

$$a_6=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{6-1}=88\cdot {1.0454545454545454}^5=88\cdot 1.248894566007041=109.9027218086196$$

$$a_7=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{7-1}=88\cdot {1.0454545454545454}^6=88\cdot 1.305662500825543=114.89830007264777$$

$$a_8=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{8-1}=88\cdot {1.0454545454545454}^7=88\cdot 1.3650107963176128=120.12095007594992$$

$$a_9=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{9-1}=88\cdot {1.0454545454545454}^8=88\cdot 1.427056741604777=125.58099326122039$$

$$a_{10}=a_1·r^{n-1}=88\cdot {1.0454545454545454}^{10-1}=88\cdot {1.0454545454545454}^9=88\cdot 1.491922957132267=131.2892202276395$$