Find and use the nth term of the followingsequences:(a) linear(b) simple quadratic(c) simple cubic.

(a) Linear Sequence: A linear sequence is a sequence of numbers where the difference between each consecutive term is constant. This difference is also known as the common difference. The nth term of a linear sequence can be found using the formula:

nth term = a + (n - 1)d

where: a = the first term in the sequence d = the common difference n = the position of the term in the sequence

(b) Simple Quadratic Sequence: A simple quadratic sequence is a sequence of numbers where the second difference (the difference between the differences of consecutive terms) is constant. The nth term of a simple quadratic sequence can be found using the formula:

nth term = an^2 + bn + c

where: a, b, c = constants that can be determined by comparing the sequence with the formula n = the position of the term in the sequence

(c) Simple Cubic Sequence: A simple cubic sequence is a sequence of numbers where the third difference (the difference between the second differences of consecutive terms) is constant. The nth term of a simple cubic sequence can be found using the formula:

nth term = an^3 + bn^2 + cn + d

where: a, b, c, d = constants that can be determined by comparing the sequence with the formula n = the position of the term in the sequence