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What will come in place of the questions...

What will come in place of the questions mark (?) in the following number series ?
`56,232,944,?,15232`

A

4200

B

3600

C

3800

D

3700

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series `56, 232, 944, ?, 15232`, we can analyze the pattern of the series step by step. ### Step 1: Identify the pattern The series appears to be increasing rapidly, suggesting a multiplication pattern followed by an addition. ### Step 2: Calculate the first transition Starting with the first number: - From **56** to **232**: - We can see that \( 56 \times 4 = 224 \) - Then, we add \( 8 \) to \( 224 \): - \( 224 + 8 = 232 \) ### Step 3: Calculate the second transition Next, we look at the transition from **232** to **944**: - From **232** to **944**: - We can see that \( 232 \times 4 = 928 \) - Then, we add \( 16 \) to \( 928 \): - \( 928 + 16 = 944 \) ### Step 4: Calculate the third transition Now, we need to find the missing number that comes after **944**: - From **944** to the next number (let's call it \( x \)): - We can see that \( 944 \times 4 = 3776 \) - The previous pattern shows that we added \( 8 \) then \( 16 \) (which is \( 8 \times 2 \)). - Following this pattern, we can add \( 24 \) (which is \( 8 \times 3 \)): - So, \( 3776 + 24 = 3800 \) ### Step 5: Calculate the final transition Finally, we check the transition from **3800** to **15232**: - From **3800** to **15232**: - We can see that \( 3800 \times 4 = 15200 \) - Then, we add \( 32 \) (which is \( 8 \times 4 \)): - \( 15200 + 32 = 15232 \) ### Conclusion Thus, the missing number in the series is **3800**. ### Final Answer The number that comes in place of the question mark (?) is **3800**.
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