সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=355$$ এবং সাধারণ অনুপাত: $$r=0.014084507042253521$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=355$$

$$a_2=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{2-1}=355\cdot {0.014084507042253521}^1=355\cdot 0.014084507042253521=5$$

$$a_3=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{3-1}=355\cdot {0.014084507042253521}^2=355\cdot 0.00019837333862328903=0.07042253521126761$$

$$a_4=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{4-1}=355\cdot {0.014084507042253521}^3=355\cdot 2.793990684835057E-06=0.0009918666931164452$$

$$a_5=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{5-1}=355\cdot {0.014084507042253521}^4=355\cdot 3.93519814765501E-08=1.3969953424175284E-05$$

$$a_6=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{6-1}=355\cdot {0.014084507042253521}^5=355\cdot 5.542532602331E-10=1.967599073827505E-07$$

$$a_7=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{7-1}=355\cdot {0.014084507042253521}^6=355\cdot 7.80638394694507E-12=2.7712663011654997E-09$$

$$a_8=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{8-1}=355\cdot {0.014084507042253521}^7=355\cdot 1.0994906967528269E-13=3.903191973472536E-11$$

$$a_9=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{9-1}=355\cdot {0.014084507042253521}^8=355\cdot 1.548578446130742E-15=5.497453483764135E-13$$

$$a_{10}=a_1·r^{n-1}=355\cdot {0.014084507042253521}^{10-1}=355\cdot {0.014084507042253521}^9=355\cdot 2.1810964030010452E-17=7.74289223065371E-15$$