2. How is the explicit form of arithmetic sequences and the slope linear function similar?

The explicit form of an arithmetic sequence and the slope-intercept form of a linear function are similar in that they both describe a sequence or a line using a formula that involves a constant term and a variable term. In an arithmetic sequence, the constant term is the first term, and the variable term is the common difference between consecutive terms. In a linear function, the constant term is the y-intercept, and the variable term is the slope of the line. Both formulas allow us to find the nth term in the sequence or the value of the function at any given point.