সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=43$$ এবং সাধারণ অনুপাত: $$r=0.6744186046511628$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=43$$

$$a_2=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{2-1}=43\cdot {0.6744186046511628}^1=43\cdot 0.6744186046511628=29$$

$$a_3=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{3-1}=43\cdot {0.6744186046511628}^2=43\cdot 0.4548404542996214=19.55813953488372$$

$$a_4=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{4-1}=43\cdot {0.6744186046511628}^3=43\cdot 0.3067528645276516=13.190373174689018$$

$$a_5=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{5-1}=43\cdot {0.6744186046511628}^4=43\cdot 0.20687983886748598=8.895833071301897$$

$$a_6=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{6-1}=43\cdot {0.6744186046511628}^5=43\cdot 0.13952361225946727=5.999515327157093$$

$$a_7=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{7-1}=43\cdot {0.6744186046511628}^6=43\cdot 0.0940973198959198=4.046184755524552$$

$$a_8=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{8-1}=43\cdot {0.6744186046511628}^7=43\cdot 0.06346098318562032=2.728822276981674$$

$$a_9=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{9-1}=43\cdot {0.6744186046511628}^8=43\cdot 0.04279926772983696=1.8403685123829892$$

$$a_{10}=a_1·r^{n-1}=43\cdot {0.6744186046511628}^{10-1}=43\cdot {0.6744186046511628}^9=43\cdot 0.02886462242244818=1.2411787641652718$$