The given series is: 19, 33, 62, 121, ?, 479. Let's find the pattern: First, identify the differences between consecutive terms:
33 - 19 = 14
62 - 33 = 29
121 - 62 = 59
Observe the differences: 14, 29, 59 Now, calculate the differences between these consecutive differences:
29 - 14 = 15
59 - 29 = 30
The differences are 15, 30
The second set of differences (15, 30) suggests an increasing pattern by doubling: 15 (next = 15 x 2 = 30).The next difference should be 59 + 60 = 119, suggesting an increment of 60 based on the pattern.
Position
Value
Difference
Further Difference
1
19
-
-
2
33
14
-
3
62
29
15
4
121
59
30
5
240 (to find)
119
60
Now calculate: 121 + 119 = 240 This matches the option given as 240. Therefore, the missing value is 240.