Answer:
Tn = 37n
Explanation:
Given the arithmetic sequence 37,74,111,148,...3
The explicit formula for the arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term = 37
n is the number of terms
d is the common difference
d = 74 - 37 = 111 - 74 = 37
Substitute the given values into the formula
Tn = 37 + (n-1)*37
Tn = 37 + 37n - 37
Tn = 37n
Hence the required explicit formula is Tn = 37n