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
Step 1: Identify the pattern in the given sequence. The sequence is 2, 4, 8, 16, . To find the pattern, we calculate the ratio between consecutive terms: (4)/(2) = 2 (8)/(4) = 2 (16)/(8) = 2 The common ratio between terms is 2. This means it is a geometric sequence where each term is obtained by multiplying the previous term by 2. Step 2: Calculate the fifth and sixth numbers in the sequence. The given terms are the first four numbers: 2, 4, 8, 16. To find the fifth number, multiply the fourth number by 2: a_5 = 16 × 2 = 32 To find the sixth number, multiply the fifth number by 2: a_6 = 32 × 2 = 64 The sixth number in the sequence is 64. That's 2 down. 3 left today — send the next one.