Using Newton's laws, F=ma, where F is the 75N FORCE and you are solving for mass,m. Divide 75N by the acceleration due to gravity on Earth (9.81 m/s^2) to get the mass of the object.
ANS:
~7.65 kg
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.25n + .5n + 18 = n.75n - n = -18-.25n = -18.25n = 18n = 72
There are infinitely many possible patterns. One pattern is the polynomial or order 5: t(n) = (-n^5 + 11n^4 - 75n^3 - 241n^2 - 344n + 192)/24 for n = 1, 2, 3, ... There are also also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. In fact, this is the Fibonacci sequence which is defined by: t(1) = 1 t(2) = 2 and t(n) = t(n-2) + t(n-1) for n = 3, 4, 5, ...