The total distance a freely falling body covers in time, t, is given by the
equation d(t)=1/2 gt2
, where g is constant at 10 m/s2
. show, in terms of n,
the distance a falling body covers in t = n seconds of movement.

the distance a freely falling body covers in the nth second is given by
s(n)=d(n)-d(n-1). show s(n) ) in terms of g, in simplified form.
prove that the quantities s(n) form an arithmetic sequence