Problema Solution

Jerry started doing sit-ups every day. The first day he did 14 sit-ups. Every day after that he did 2 more sit-ups than he had done the previous day. Today Jerry did 18 sit-ups. Enter an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day.

Answer provided by our tutors

The first day Jerry did 14 sit-ups:


a0 = 14


The 2nd day he did 2 more sit-ups then the previous:


a1 = a0 + 2


The 3rd day he did 2 more sit-ups then the previous:


a2 = a1 + 2


a2 = a0 + 2 + 2


a2 = a0 + 2*2


the (n+1)-th day he did:


an = a0 + 2n


Today Jerry did 18 sit-ups means we have: an = 18 and we need to find n


a0 + 2n = 18


14 + 2n = 18

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n = 2


Jerry has been doing sit-ups for 2 days (not counting the first day).