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
The pattern is a sequence of numbers. Let's analyze the relationship between consecutive terms. Step 1: Examine the relationship between the numbers. We observe that 625 = 5⁴, 125 = 5³, 5 = 5¹, and 1 = 5⁰. Step 2: Identify the pattern in the exponents. The exponents for the terms 625, 125, 5, and 1 are 4, 3, 1, and 0, respectively. Step 3: Determine the missing exponent. For the pattern to be consistent, the exponents should decrease by 1 each time. Thus, the sequence of exponents should be 4, 3, 2, 1, 0. Step 4: Calculate the term corresponding to the missing exponent. The missing exponent is 2. The term corresponding to this exponent is 5². Step 5: Calculate the value of 5². 5² = 5 × 5 = 25. Step 6: Determine the value of t. Since t is the term corresponding to the exponent 2, t = 25. The value of t in the pattern is 25. That's 2 down. 3 left today — send the next one.