SOLUTION: A kangaroo hops in such a way that the distance covered
in each hop is half that of the previous one. The
kangaroo started bouncing from a tree and hopped a
distance of 2 m. on
Algebra.Com
Question 772715: A kangaroo hops in such a way that the distance covered
in each hop is half that of the previous one. The
kangaroo started bouncing from a tree and hopped a
distance of 2 m. on his third hop. How far is the kangaroo
from the tree after its tenth hop?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If the kangaroo hops m on the
1st hop, each succeeding hop is:
, where = 0,1,2,3. . . .
The sum = . . .
The formula for the geometric sum is:
In this case, , ,
Sum =
Sum =
Sum =
Sum =
Sum =
The kangaroo is 3.9961 m from the tree
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