This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Fresh day Abba, let's solve. Step 1: Identify the given values. The heart rate at the 24th hour is 68 beats per minute (bpm). We can denote this as a_24 = 68. The heart rate is decreasing by 2 bpm each hour. This means the common difference d = -2 bpm. We need to find the heart rate 5 hours before the 24th hour, which is at hour 24 - 5 = 19. So, we need to find a_19. Step 2: Use the formula for the n-th term of an arithmetic progression. The formula for the n-th term of an arithmetic progression, given a k-th term, is: a_n = a_k + (n-k)d Step 3: Substitute the known values into the formula. We want to find a_19, and we know a_24. So, let n=19 and k=24. a_19 = a_24 + (19 - 24)d a_19 = 68 + (-5)(-2) a_19 = 68 + 10 a_19 = 78 The heart rate at the 19th hour is 78 bpm. Send me the next one 📸