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What will come in place of question mark...

What will come in place of question mark (?) in the given number series?
6 8 18 56 ? 1132

A

226

B

224

C

248

D

242

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series: 6, 8, 18, 56, ?, 1132, we will analyze the pattern in the series step by step. ### Step 1: Identify the pattern We start with the first number, 6. We need to find how we can get to the next number, 8. ### Step 2: Calculate the transition from 6 to 8 To go from 6 to 8: - We can multiply 6 by 1 and then add 2. - Calculation: \( 6 \times 1 + 2 = 8 \) ### Step 3: Calculate the transition from 8 to 18 Next, we look at how to get from 8 to 18: - We can multiply 8 by 2 and then add 2. - Calculation: \( 8 \times 2 + 2 = 16 + 2 = 18 \) ### Step 4: Calculate the transition from 18 to 56 Now, we check how to get from 18 to 56: - We can multiply 18 by 3 and then add 2. - Calculation: \( 18 \times 3 + 2 = 54 + 2 = 56 \) ### Step 5: Calculate the transition from 56 to ? Next, we need to find the missing number after 56. Following the pattern: - We multiply 56 by 4 and then add 2. - Calculation: \( 56 \times 4 + 2 = 224 + 2 = 226 \) ### Step 6: Calculate the transition from ? to 1132 Finally, we check how to get from 226 to 1132: - We multiply 226 by 5 and then add 2. - Calculation: \( 226 \times 5 + 2 = 1130 + 2 = 1132 \) ### Conclusion Thus, the missing number in the series is **226**.
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