If we do 1 push up repetition per day, 3 sets, then increase it by one rep per week for same three sets, how many push ups will we be doing in 6months?

Check your answer:-

Answer With Solution**Answer**: 7215

**Solution**:

Let’s assume 30 days in a month, so 6*30 = 180 days in 6 months, i.e. 180/7 = 25weeks + 5 days.

number of push ups in first week 3*7 = 21

so total number of push ups in 25 weeks = 21 + 21*2 + 21*3 …. 21*25

its an arithmetic progression with a1 = 21 and d = 21

its Sum = n(a1+an)/2 = 25(21 + 21*25)/2 = 21*25*26/2 = 6825

Push ups done in 5 days = 21*26*5/7 = 26*15 = 390

Total push ups in 6 months = 6825 + 390 = 7215.

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Thierry says

You could look at it this way. There are 52 weeks in a year, so its 26 weeks in 6 months exactly. Not 25 weeks and five days…

So its the sum of 1…26 = 351

351*3*7 = 7371