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Sum Fractional Ratios (Posted on 2023-08-07)

Determine the value of M when:

M = (3²+1)*(3²-1)^-1+(5²+1)*(5²-1)^-1+(7²+1)*(7²-1)^-1+......+ (999²
+1)*(999²-1)^-1

See The Solution Submitted by K Sengupta

Rating: 4.0000 (2 votes)

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computer solution (spoiler)

| Comment 1 of 4

M=sym(0);

for b=sym(3):2:999;

M=M+(b^2+1)/(b^2-1);

end

disp(M)

disp(eval(M))

finds the rational fraction and its decimal equivalent

499499/1000

499.499

Posted by Charlie on 2023-08-07 12:27:14

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