71,76,69,74,67,72 (…):

Options

A. 77
B. 65
C. 80
D. 76

Answer

To find the next number in the series 71, 76, 69, 74, 67, 72, we will analyze the pattern of the numbers step by step.

### Step 1: Identify the Series
The given series is:
71, 76, 69, 74, 67, 72

### Step 2: Analyze the Pattern
Let's break down the series into two alternating sequences:

1. **First Sequence** (odd positions): 71, 69, 67
2. **Second Sequence** (even positions): 76, 74, 72

### Step 3: Determine the Pattern in the First Sequence
In the first sequence (71, 69, 67):
- 71 to 69: Subtract 2
- 69 to 67: Subtract 2

Continuing this pattern, the next number would be:
67 - 2 = 65

### Step 4: Determine the Pattern in the Second Sequence
In the second sequence (76, 74, 72):
- 76 to 74: Subtract 2
- 74 to 72: Subtract 2

Continuing this pattern, the next number would be:
72 - 2 = 70

### Step 5: Combine the Results
Since the series alternates between the two sequences, the next number in the series after 72 will be from the first sequence, which we calculated to be 65.

### Conclusion
Thus, the next number in the series is **65**.

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