Correct option is A
Given :
Series → 17, 24, 32, 38, x, 74, y, …
Solution :
Find the differences:
24 − 17 = 7
32 − 24 = 8
38 − 32 = 6
Now observe a symmetric pattern in differences:
7 , 8 , 6 , 12 , 24 , 12
So continuing the series:
38 + 12 = 50
x = 50
50 + 24 = 74
74 + 12 = 86
y = 86
Now calculate:
2x + y = 2(50) + 86 = 100 + 86 = 186