An arithmetic sequence is a sequence of numbers where each successive term is found by add...

An arithmetic sequence is a sequence of numbers where each successive term is found by adding a fixed constant, called the common difference d, to the preceding term. For instance 3, 7, 11, 15,… is an arithmetic sequence with d = 4. The formula for the “nth term” tn of an arithmetic sequence is a linear equation of the form tn = t1 + (n − 1)d,where d is the common difference and t1 is the first term of the sequence. Use the equation to find the term specified for each sequence.

a. 2, 9, 16, 23, 30, …; 21st term

b. 7, 4, 1, −2, −5, …; 31st term

c. 5.10, 5.25, 5.40, 5.55, …; 27th term

d.