Answer
This is not an arithmetic sequence.
Work Step by Step
The difference between consecutive terms is constant in an arithmetic sequence.
The sequence: 10, 24, 36, 52, ...
Finding the pattern:
Difference between 1st and 2nd term:
2nd term-1st term=Difference
24-10= 14
Difference between 2nd and 3rd term:
3rd term-2nd term=Difference
36-24= 12
Difference between 3rd and 4th term:
4th term-3rd term=Difference
52-36=16
The common difference is not constant and thus this is not an arithmetic sequence.