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profilerana kumar
asked 2020-03-18 10:57:21 
A man walks $1$ km in a day. He walks twice the distance of previous day each time. How far does he walk in a week?
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profiledev
answered 2020-03-18 19:24:10 

Day $1:$ $1$ km
Day $2:$ $2$ km
Day $3:$ $4$ km
$\cdots$

This is a GP with a$=1$ and r$=2$

Total distance covered in $7$ days
$=\dfrac{1(2^7-1)}{(2-1)}=127\text{ km}$

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