625,125,t,5,1 The value of t in the pattern above is
Mathematics
ScanSolve AI Answer
Answer
The pattern is a sequence of numbers. Let's analyze the relationship between consecutive terms.
Step-by-step solution
6 stepsExamine the relationship between the numbers.
We observe that 625 = 5⁴, 125 = 5³, 5 = 5¹, and 1 = 5⁰.
Identify the pattern in the exponents.
The exponents for the terms 625, 125, 5, and 1 are 4, 3, 1, and 0, respectively.
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.
Calculate the term corresponding to the missing exponent.
The missing exponent is 2. The term corresponding to this exponent is 5².
Calculate the value of 5².
5² = 5 × 5 = 25.
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.
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