Explanation:

Let’s find the pattern in the series: 18, 74, 298, 1194, 4778, ?

- Let's check the progression by dividing each term by the previous one:

- 74 ÷ 18 = 4.111..., 298 ÷ 74 = 4.027, 1194 ÷ 298 = 4.006, 4778 ÷ 1194 = 4.004

- It appears each term multiplies by 4, then subtracts 2 (let’s check):

- 18 × 4 = 72; 72 + 2 = 74 (So, plus 2, not minus)

- 74 × 4 = 296; 296 + 2 = 298

- 298 × 4 = 1192; 1192 + 2 = 1194

- 1194 × 4 = 4776; 4776 + 2 = 4778

- So, the next term: 4778 × 4 = 19,112; 19,112 + 2 = 19,114

Now, matching with the options:

1. 19116

2. 19112

3. 19114

4. 19110

- The correct answer is option 3: 19114

- Pattern is: multiply previous term by 4, then add 2.

- Each option is close, but only option 3 fits after applying the pattern.

- So, the right value to complete the series is 19,114.