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
Hey Mujaheed, good to see you again. Step 1: Analyze the given sequence and identify the pattern. The sequence of systolic BP readings is 160, 152, 148, 136, 128 mmHg. Let's find the differences between consecutive terms: 152 - 160 = -8 148 - 152 = -4 136 - 148 = -12 128 - 136 = -8 The differences are not constant, so the sequence as written is not a standard arithmetic progression. However, given the context of arithmetic progressions, it is highly probable that there is a typo in the sequence. The common difference appears to be -8 mmHg for most terms. We will assume the sequence is an arithmetic progression with a common difference of -8 mmHg, meaning the third term 148 would ideally be 144 to fit this pattern. Step 2: Identify the first term and common difference. Based on our assumption, the first term is a_1 = 160 mmHg. The common difference is d = -8 mmHg. Step 3: Write the general term for the arithmetic progression. The formula for the n-th term of an arithmetic progression is a_n = a_1 + (n-1)d. Substitute a_1 = 160 and d = -8: a_n = 160 + (n-1)(-8) Step 4: Simplify the general term. a_n = 160 - 8n + 8 a_n = 168 - 8n The general term is a_n = (168 - 8n) mmHg. Step 5: Predict the BP after 8 hours. The question asks for the BP after 8 hours, which corresponds to the 8th term (n=8) in the sequence. Substitute n=8 into the general term formula: a_8 = 168 - 8(8) a_8 = 168 - 64 a_8 = 104 mmHg The predicted BP after 8 hours is 104 mmHg. Send me the next one 📸