Rows in Pascal's Triangle containing Numbers in Arithmetic Sequence/Examples/7, 21, 35

Example of Rows in Pascal's Triangle containing Numbers in Arithmetic Progression
The integers:
 * $7, 21, 35$

are in arithmetic progression and appear in row $7$ of Pascal's triangle.

Proof
We have:

thus demonstrating the common difference of $14$.

Then we have that row $7$ of Pascal's triangle is:
 * $1, \color {red} {7, 21, 35}, 35, 21, 7, 1$