সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=-19$$ এবং সাধারণ অনুপাত: $$r=4.842105263157895$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=-19$$

$$a_2=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{2-1}=-19\cdot {4.842105263157895}^1=-19\cdot 4.842105263157895=-92$$

$$a_3=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{3-1}=-19\cdot {4.842105263157895}^2=-19\cdot 23.445983379501385=-445.4736842105263$$

$$a_4=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{4-1}=-19\cdot {4.842105263157895}^3=-19\cdot 113.52791952179618=-2157.0304709141274$$

$$a_5=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{5-1}=-19\cdot {4.842105263157895}^4=-19\cdot 549.7141366318551=-10444.568596005247$$

$$a_6=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{6-1}=-19\cdot {4.842105263157895}^5=-19\cdot 2661.7737142174037=-50573.70057013067$$

$$a_7=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{7-1}=-19\cdot {4.842105263157895}^6=-19\cdot 12888.58851094743=-244883.18170800115$$

$$a_8=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{8-1}=-19\cdot {4.842105263157895}^7=-19\cdot 62407.902263534925=-1185750.1430071637$$

$$a_9=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{9-1}=-19\cdot {4.842105263157895}^8=-19\cdot 302185.6320129059=-5741527.008245212$$

$$a_{10}=a_1·r^{n-1}=-19\cdot {4.842105263157895}^{10-1}=-19\cdot {4.842105263157895}^9=-19\cdot 1463214.6392203865=-27801078.145187344$$