Question #5db2a

1 Answer
Jul 3, 2017

Answer:

#1# foot wil remain after #5# cuts.
#a_(n+1)=a_1*r^n# feet will remain after #n# cuts .

Explanation:

1st term is #a_1=243# . Common ratio is #r=1-2/3=1/3#

This is series of geometric progression # (243,81,27,9,3,1..)#

Number of terrms is #n=5+1=6# after #5# cuts

#n# th term is #a_n=a_1*r^(n-1) :. a_6= 243*(1/3)^5=243*1/243=1#foot

#1# foot wil remain after #5# cuts.

#a_(n+1)=a_1*r^n# feet will remain after #n# cuts .[Ans]