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" Find "F(me)-GMm[(1)/(r^(2))+(1)/(2r^(2...

" Find "F_(me)-GMm[(1)/(r^(2))+(1)/(2r^(2))+(1)/(4r^(2))+............p^(2)

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Find F_("net") = GMm[ (1)/(r^(2))+ (1)/(2r^(2))+ (1)/(4r^(2))+ ...... "up to "oo] .

Find F_("net") = GMm[ (1)/(r^(2))+ (1)/(2r^(2))+ (1)/(4r^(2))+ ...... "up to "oo] .

If P_(r) is the coefficient of x^® in the expansion of (1 + x)^(2) (1 + (x)/(2))^(2) (1 + (x)/(2^(2)))^(2) (1 + (x)/(2^(3)))^(2)... prove that P_(r) = (2^(2))/((2^(r) -1))(P_(r-1) + P_(r-2) )and P_(4) = (1072)/(315) .

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