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Find the wrong number in each of the fo...

Find the wrong number in each of the following number series.
2 3 7 22 89 448 2677.

A

7

B

22

C

448

D

89

Text Solution

AI Generated Solution

The correct Answer is:
To find the wrong number in the series: 2, 3, 7, 22, 89, 448, 2677, we will analyze the pattern in the series step by step. ### Step 1: Identify the pattern Let's observe how each number relates to the previous one. 1. From 2 to 3: - \(2 \times 1 + 1 = 3\) 2. From 3 to 7: - \(3 \times 2 + 1 = 7\) 3. From 7 to 22: - \(7 \times 3 + 1 = 22\) 4. From 22 to 89: - \(22 \times 4 + 1 = 89\) 5. From 89 to 448: - Here we need to check if the pattern holds: - \(89 \times 5 + 1 = 446\) (not 448) ### Step 2: Identify the wrong number Since the calculation shows that \(89 \times 5 + 1\) should yield 446, but we have 448 in the series, we can conclude that 448 is the incorrect number. ### Step 3: Verify the next number Now let's verify the next number in the series using the corrected number (446): - From 446 to 2677: - \(446 \times 6 + 1 = 2677\) (this holds true) ### Conclusion The wrong number in the series is **448**.
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