Question

Create a linear pattern that matches the expression 3n+ 1, where n is the case number. Represent your pattern as a visual, table, and graph

Answer 1

Linear patterns are rules that guide the formation of a linear set. The graph and visual of $3n + 1$ are added as attachments, while the table of $3n + 1$ is as follows:

$\left[\begin{array}{cc}n&3n+1&0&1&1&4&2&7&3&10&4&13\end{array}\right]$

Given that:

$f(n) = 3n + 1$

The function is populated by replacing n with digits 0, 1, 2, 3, 4......

So, we have:

$f(0) = 3\times 0 + 1 = 1$

$f(1) = 3\times 1 + 1 = 4$

$f(2) = 3\times 2 + 1 = 7$

$f(3) = 3\times 3 + 1 = 10$

$f(4) = 3\times 4 + 1 = 12$

See attachment (1) for the visuals

The table of the linear pattern is as follows:

$\left[\begin{array}{cc}n&f(n)&0&1&1&4&2&7&3&10&4&13\end{array}\right]$

See attachment (2) for the graph

Read more about linear patterns at:

https://brainly.com/question/522948