Four different integers form an increasing AP. If one of

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Four different integers form an increasing AP. If one of these numbers is equal to the sum of the squares of the other three numbers, then the numbers are —

1. –2, –1, 0, 1
2. 0, 1, 2, 3
3. –1,0, 1, 2
4. 1, 2, 3, 4

Correct Option: C

According to question ,
Fourth number = sum of the squares of the other three numbers
By hit and trial or common sense, we have,
2 = (–1)² + (0)² + (1)²
Hence the numbers are –1 , 0 , 1 , 2 .