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What should come in place of question ma...

What should come in place of question mark in questions
11 9 15 41 159 ?

A

740

B

607

C

751

D

789

Text Solution

AI Generated Solution

The correct Answer is:
To solve the sequence: 11, 9, 15, 41, 159, ?, we need to identify the pattern in the numbers. ### Step-by-Step Solution: 1. **Identify the Pattern**: - Start with the first number, 11. - The second number is 9. Notice that 9 is derived from 11 by multiplying by 2 and then subtracting 3: \[ 11 \times 2 - 3 = 22 - 3 = 19 \quad (\text{Incorrect, let's check again}) \] Actually, it should be: \[ 11 - 2 = 9 \] 2. **Continue the Pattern**: - Now, let's check how we get from 9 to 15: \[ 9 \times 2 - 3 = 18 - 3 = 15 \] - Next, from 15 to 41: \[ 15 \times 3 - 4 = 45 - 4 = 41 \] - From 41 to 159: \[ 41 \times 4 - 5 = 164 - 5 = 159 \] 3. **Establish the Next Step**: - Now, we need to find the next number after 159. Following the established pattern: - We multiply by 5 and then subtract 6: \[ 159 \times 5 - 6 \] - Calculate \( 159 \times 5 \): \[ 159 \times 5 = 795 \] - Now subtract 6: \[ 795 - 6 = 789 \] 4. **Conclusion**: - The number that should come in place of the question mark is **789**. ### Final Answer: The answer is **789**.
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