The arithmetic sequence 1, 3, 5, 7, 9, . . . represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = ____ +____ (k - 1)

The explicit rule for the sequence is Tn = 2n - 1Given the sequence 1, 3, 5, 7, 9...The explicit formula for the nth term is expressed as:[tex]T_n=a+(n-1)d[/tex]a is the first term = 1d is the common difference = 3 - 1 = 5 - 3 = 2n is the number of termsSubstitute the given parameters into the formula to have;[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]Hence the explicit rule for the sequence is Tn = 2n - 1Learn more on AP here: