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a man start going for morning walk every day. the distance walked by him on the first day was 2 kms. everyday he walks half of the distance walked on the previous day. what can be maximum total distance? walked by him in his life time?

Shubh
07 नवम्बर
3036 दृश्य
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Your Answer

NY

Nisha
07 नवम्बर

The man walks 2 kilometers on the first day, and then each subsequent day he walks half the distance of the previous day. This forms a geometric progression with the first term (a) as 2 and a common ratio (r) of 1/2.
The formula to find the sum of a geometric progression (S) is given by:
S = a / (1 - r)
In this case, a = 2 and r = 1/2. Let's calculate the maximum total distance walked in his lifetime:
S = 2 / (1 - 1/2)
S = 2 / (1/2)
S = 2 * 2
S = 4 kilometers