1 U S Population An arithmetic sequence is the discrete analog to a linear function Both an arithmetic sequence and a linear function assume a constant additive rate of change a According to the U S Census Bureau the official U S population was 248 7 million in 1990 and 308 7 million in 2010 What was the average change in population per year from 1990 through 2010 b The official U S population was 281 4 million in 2000 Let p be an arithmetic sequence that represents the U S population in millions of persons n years after 2000 Verify that p 281 4 This is the initial condition for your sequence c Use your answer from part a to write a recursive formula for the sequence p d Write an explicit formula for the arithmetic sequence p assuming that p 281 4 e Use the information from parts b c and d to estimate the U S population in 2010 2015 and 2020