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" (i) "(1)/(7)+(2)/(7^(2))+(1)/(7^(3))+(...

" (i) "(1)/(7)+(2)/(7^(2))+(1)/(7^(3))+(2)/(7^(4))+(1)/(7^(5))+(2)/(7^(6))+............

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2(1)/(7) + 3(6)/(7) + 5(1)/(6) = ?

The sum to infinity of (1)/(7)+(2)/(7^(2))+(1)/(7^(3))+(2)/(7^(4))+........

((3^(-1)7^(2))/(3^(3)7^(-4)))/((3^(3)7^(-5))/(2^(-2)7^(3)))

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

(7)/(8)-:(7(1)/(2)-5(1)/(6)-:2(3)/(4))+4(1)/(2)

the sum to infinity of (1)/(7) + (2)/(7^(2)) + (1)/(7^(3)) + (2)/(7^(4)) + …. is

((2)/(3)x+4)((3)/(2)x+6)-((1)/(7)x-1)((1)/(7)x+1)

" (iii) ((-2)/(5)+(4)/(7))+((-2)/(5)) ( iv )(3)/(4)+(7)/(6)+((-5)/(4))+(1)/(2)