সমাধান - জ্যামিতিক ধারা

সিরিজের সাধারণ রূপ খুঁজে পেতে, প্রথম পদ: $$a=300$$ এবং সাধারণ অনুপাত: $$r=1.4$$ জ্যামিতিক সিরিজের সূত্রে প্লাগ করুন:

$$a_1=300$$

$$a_2=a_1·r^{n-1}=300\cdot {1.4}^{2-1}=300\cdot {1.4}^1=300\cdot 1.4=420$$

$$a_3=a_1·r^{n-1}=300\cdot {1.4}^{3-1}=300\cdot {1.4}^2=300\cdot 1.9599999999999997=587.9999999999999$$

$$a_4=a_1·r^{n-1}=300\cdot {1.4}^{4-1}=300\cdot {1.4}^3=300\cdot 2.7439999999999993=823.1999999999998$$

$$a_5=a_1·r^{n-1}=300\cdot {1.4}^{5-1}=300\cdot {1.4}^4=300\cdot 3.8415999999999992=1152.4799999999998$$

$$a_6=a_1·r^{n-1}=300\cdot {1.4}^{6-1}=300\cdot {1.4}^5=300\cdot 5.378239999999998=1613.4719999999995$$

$$a_7=a_1·r^{n-1}=300\cdot {1.4}^{7-1}=300\cdot {1.4}^6=300\cdot 7.529535999999998=2258.8607999999995$$

$$a_8=a_1·r^{n-1}=300\cdot {1.4}^{8-1}=300\cdot {1.4}^7=300\cdot 10.541350399999995=3162.4051199999985$$

$$a_9=a_1·r^{n-1}=300\cdot {1.4}^{9-1}=300\cdot {1.4}^8=300\cdot 14.757890559999993=4427.367167999998$$

$$a_{10}=a_1·r^{n-1}=300\cdot {1.4}^{10-1}=300\cdot {1.4}^9=300\cdot 20.66104678399999=6198.314035199996$$