In the following series, 17, 24, 32, 38, x, 74, y, ... what is the value of (2x + y)?

Given:
The number series: 17, 24, 32, 38, x, 74, y, ...
The expression to evaluate: (2x + y)
Concept Used:
Number Series Logic: An additive series where each term is increased by the product of the digits of the preceding term.
Formula Used:
​$$\text{Term}_{n+1} = \text{Term}_n + (\text{Product of the digits of Term}_n)$$​​
Solution:
Identify the pattern using the known terms:
17➔ 17 + (1× 7) = 17 + 7 = 24
24➔ 24 + (2 × 4) = 24 + 8 = 32
32 ➔ 32 + (3 × 2) = 32 + 6 = 38

By the same logic:
x = 38 + (3 × 8) = 38 + 24 = 62

62 + (6 × 2) = 62 + 12 = 74 
Now, y:
y = 74 + (7 × 4) = 74 + 28 = 102
So,  value of  2x + y:
2(62) + 102 = 124 + 102 = 226​​