From the height of 8 metres a ball fell down and each time it bounces half the distance back. What will be total the distance ball travelled? Select one: a. 24m b. 23m c. 40m d. 16m
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.Total distance (S) travelled= 8+4+4+2+2+1+1+1/2+1/2+1/4+1/4+1/8+……………….infinite.
S=8+2[4+2+1+1/2+1/4+…………….infinite.]
S=8+2[ This is a G.P in which a=4 , r= 1/2 ,n = infinite]
S=8+2[ a/(1-r)].
S=8+2.[4/(1–1/2)].
S=8+2.8
S=8+16 =24 m. Answer.
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