Question

If given the following AP what is the common difference 10, 15, 20

Answer 1

The common difference of the given AP is d=5.

Explanation:

Given the sequence

`10,\:15,\:20`

An Arithmetic sequence has a constant difference 'd' and is defined by

`a_n=a_1+\left(n-1\right)d`

Computing the common difference of all the adjacent terms

`10,\:15,\:20`

`15-10=5,\:\quad \:20-15=5`

As the difference between all the adjacent terms is the same and equal to

`d=5`

Therefore, the common difference of the given AP is d=5.