Question

For the following sequence: 6,15,24,33,.....

a) Write an expression for the nth term
b) Find the 10th term.

Answer 1

a) The common difference between consecutive terms is 9. Thus, the nth term can be expressed as:

n(9)+(-3)

b) To find the 10th term, we substitute n=10 in the expression we just found:

10(9) + (-3) = 87

Therefore, the 10th term of the sequence is 87.