Make a simple drawing of three or more similar objects
whose lengths can be represented by an arithmetic
sequence. Write the corresponding arithmetic sequence,
and a recursive or explicit formula for that sequence.

Question

Make a simple drawing of three or more similar objects 
whose lengths can be represented by an arithmetic 
sequence. Write the corresponding arithmetic sequence, 
and a recursive or explicit formula for that sequence.

john_es · Answer

May be you can use the usual regular geometric forms: triangle, square, etc. Then, choosing the perimeter as the function to find with an arithmetic sequence, you find that

L : length of one side
P : perimeter

$$P(n)=3L+(n-1)L$$

And then, for a triangle you have, P(1)=3L, for a square, P(2)=4L, and so on.