Chris and Dexter are completing a science project together for which they are asked to monitor the growth patterns of new trees. They agree to record their findings once a week for three weeks.

At the end of three weeks, they meet and share their findings.

. Chris's findings: The tree had grown 3 cm by the end of the first week and continued to grow

1 cm each week that followed.

1

cm)

3 cm

Dexter's findings: The tree had 3 branches at the end of the first week. For every passing week,

each branch end separated into 3 more branches.

X

Analyze the growth pattern of each tree as described by Chris and Dexter.

Your work should include:

A numerical sequence for each pattern, including a description of the type of sequence that

is formed. (3 points)

Tables of values to represent Chris's findings and Dexter's findings. (2 points)

Graphs to represent Chris's findings and Dexter's findings. (2 points)

Equations to make predictions about the future growth of the trees. Include a recursive formula

and an explicit formula for each. (3 points)

Explanation comparing and contrasting the sequences using math terms (3 points)