Given two terms in artimetic sequence find the common difference, the 52 term, and the explicit formula. a15=139 and a30=259

139, 149, 159, 169, 179, 189, 199, 209, 219, 229, 239, 249, 259.

The common difference is 13.

Let n = 52

Let d = common difference

a_52 = 139 + (52 - 1)(13)

a_52 = 139 + (51)(13)

a_52 = 139 + 663

a_52 = 802

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.