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
This problem describes an arithmetic sequence because the number of beads sewn increases by a constant amount each day. Step 1: Identify the first term (a_1) and the common difference (d). The tailor sews 5 beads on the first day, so a_1 = 5. Each day after that, she sews 3 more beads than the previous day, so the common difference d = 3. Step 2: Use the formula for the n-th term of an arithmetic sequence. The formula is a_n = a_1 + (n-1)d, where a_n is the n-th term, a_1 is the first term, n is the term number, and d is the common difference. Step 3: Substitute the values to find the number of beads on the 8th day (n=8). a_8 = 5 + (8-1)3 a_8 = 5 + (7)3 Step 4: Calculate the value. a_8 = 5 + 21 a_8 = 26 The tailor sews 26 beads on the 8th day. The final answer is 26 beads. Send me the next one 📸