श्रेणी `4/7+5/7^(2)+4/7^(3)+5/7^(4)+...oo` तक जोड़िए।

Find the sum of each of the following infinite geometric series, if it exists : (4)/(7) - (5)/(7^(2)) + (4)/(7^(3)) - (5)/(7^(4)) + (4)/(7^(5)) - (5)/(7^(6)) +…oo

(3x-4)/(7)+(7)/(3x-4)=(5)/(2)

((5)/(7))^(2)-:((5)/(7))^(3x+1)=((5)/(7))^(4)

2 + (5)/(2!3) + (5.7)/(3!3^2) + (5.7.9)/(4!3^2) + …..oo =

(x-4)/(7)=(x+3)/(7)+(x+4)/(5)

Find the sum of the infinite series (1.3)/(2)+(3.5)/(2^(2))+(5.7)/(2^(3))+(7.9)/(2^(4))+......oo

((5.3)^(2)-(4.7)^(2))/(5.3-4.7) is equal to