সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=166$$ এবং সাধারণ অনুপাত: $$r=0.04216867469879518$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=166$$

$$a_2=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{2-1}=166\cdot {0.04216867469879518}^1=166\cdot 0.04216867469879518=6.999999999999999$$

$$a_3=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{3-1}=166\cdot {0.04216867469879518}^2=166\cdot 0.0017781971258528087=0.2951807228915662$$

$$a_4=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{4-1}=166\cdot {0.04216867469879518}^3=166\cdot 7.498421615041964E-05=0.01244737988096966$$

$$a_5=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{5-1}=166\cdot {0.04216867469879518}^4=166\cdot 3.161985018391189E-06=0.0005248895130529374$$

$$a_6=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{6-1}=166\cdot {0.04216867469879518}^5=166\cdot 1.3333671764300193E-07=2.213389512873832E-05$$

$$a_7=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{7-1}=166\cdot {0.04216867469879518}^6=166\cdot 5.6226326716928526E-09=9.333570235010135E-07$$

$$a_8=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{8-1}=166\cdot {0.04216867469879518}^7=166\cdot 2.3709896808343353E-10=3.935842870184997E-08$$

$$a_9=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{9-1}=166\cdot {0.04216867469879518}^8=166\cdot 9.998149256530328E-12=1.6596927765840345E-09$$

$$a_{10}=a_1·r^{n-1}=166\cdot {0.04216867469879518}^{10-1}=166\cdot {0.04216867469879518}^9=166\cdot 4.216087035886283E-13=6.998704479571229E-11$$