#2**+2 **

a) For the first series, the coloring pattern is

2, 4, 6

The algebraic expression is b = 2n where b is the number of colored blocks for figure n

For the second series we have

4,6,8

The algebraic expression is b = 2n + 2 where b is the number of colored blocks for figure n

b) For the first expression, 2 is the coefficient on the variable and we have no constant term

For the second expressiion, 2 is both the constant term and the coefficient

c) The coefficient in the first algebraic expression tells us that the number of blocks to be colored increases by 2 for each successive figure

The coefficient in the second algebraic expression also increases the number of blocks by 2 for each successive figure and the constant term tells us that we will increase the number of blocks by 2 from each corresponding figure in the first series

CPhill May 1, 2020