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निम्न श्रेढियों का योगफल अपरिमित पदों ...

निम्न श्रेढियों का योगफल अपरिमित पदों तक ज्ञात कीजिए -
`(2)/(5)+(3)/(5^(2))+(2)/(5^(3))+(3)/(5^(4))+(2)/(5^(5))+(3)/(5^(6))+.............`

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(3)/(5)+(4)/(5^(2))+(3)/(5^(3))+(4)/(5^(4))+... to 2n terms

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

The sum of the infinite series, 1 ^(2) -(2^(2))/(5) + (3 ^(2))/(5 ^(3))+ (3^(2))/(5 ^(3))+ (5 ^(2))/(5 ^(4))-(6 ^(2))/(5 ^(5)) + ..... is:

The sum of the infinite series, 1 ^(2) -(2^(2))/(5) + (3 ^(2))/(5 ^(2))+ (4^(2))/(5 ^(3))+ (5 ^(2))/(5 ^(4))-(6 ^(2))/(5 ^(5)) + ..... is:

((5^(3))^(-2)times(5^(2))^(-3)times(6)^(5))/((2)^(3)times(3)^(2)times(5)^(5))

Take away :(5a^(2))/(2)+(3a^(3))/(2)+(a)/(3)-(6)/(5) om (1)/(3)a^(3)-(3)/(4)a^(2)-(5)/(2)