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Answer :
Emily will run for 130 minutes on day 12, as her running time increases by 10 minutes each day, starting at 20 minutes on day one.
Emily is training and increases her running time each day. She begins with 20 minutes on day one and increases her time by 10 minutes each successive day. To calculate the total minutes she will run on day 12, we can notice the pattern forms an arithmetic sequence where each term is 10 minutes more than the previous term. The first term (day one) is 20 minutes, and the common difference is 10 minutes.
Step-by-step solution:
Identify the first term of the sequence (a1 = 20 minutes) and the common difference (d = 10 minutes).
Use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1) × d.
Substitute the values to find the minutes on day 12: a12 = 20 + (12 - 1) × 10 = 20 + 110 = 130 minutes.
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Rewritten by : Barada
It should be 130 as from day one to day two and to day three it goes up by 10 so 12*10+10
