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# Program to check we can make arithmetic progression from sequence in Python

Suppose we have a list of numbers called nums. We have to check whether the elements present in nums are forming AP series or not. As we know in AP (Arithmetic Progression) series the common difference between any two consecutive elements is the same.

So, if the input is like nums = [9,1,17,5,13], then the output will be True because if we sort them, it will be [1,5,9,13,17] and here common difference is 4 for each pair of elements.

To solve this, we will follow these steps −

nums := sort the list nums

if number of elements in nums > 1, then

const := nums[1] - nums[0]

otherwise,

return True

for i in range 0 to size of nums -1, do

if nums[i+1] - nums[i] is not same as const, then

return False

return True

## Example (Python)

Let us see the following implementation to get better understanding −

def solve(nums): nums = sorted(nums) if len(nums) > 1: const = nums[1] - nums[0] else: return True for i in range(len(nums)-1): if nums[i+1] - nums[i] != const: return False return True nums = [9,1,17,5,13] print(solve(nums))

## Input

[9,1,17,5,13]

## Output

True