Find the wrong term in the given series:

27, 34, 51, 75, 107, 147, 195

Question

Find the wrong term in the given series:

27, 34, 51, 75, 107, 147, 195

Accepted Answer

**Solution:**

1. Given series: 27, 34, 51, 75, 107, 147, 195

2. Calculate the first differences between consecutive terms:
   - 34 - 27 = +7
   - 51 - 34 = +17
   - 75 - 51 = +24
   - 107 - 75 = +32
   - 147 - 107 = +40
   - 195 - 147 = +48

3. The differences are: +7, +17, +24, +32, +40, +48

4. Check if the differences follow a pattern. The second differences are:
   - 17 - 7 = 10
   - 24 - 17 = 7
   - 32 - 24 = 8
   - 40 - 32 = 8
   - 48 - 40 = 8

The second differences are not consistent.

5. Now, try assuming the first difference should increase by 8 each time (as per the original solution):
   - Starting from 27, add +8: 27 + 8 = 35 (instead of 34)
   - Next add +16: 35 + 16 = 51
   - Next add +24: 51 + 24 = 75
   - Next add +32: 75 + 32 = 107
   - Next add +40: 107 + 40 = 147
   - Next add +48: 147 + 48 = 195

6. This shows the correct series should be:
   27, 35, 51, 75, 107, 147, 195

7. Therefore, the wrong term in the original series is **34**.

**Answer:** 34

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Answer

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