Find the wrong number in the given series:

$$140, 160, 182, 206, 234, 260$$

Question

Find the wrong number in the given series:

$$140, 160, 182, 206, 234, 260$$

Accepted Answer

**Solution:**

1. Analyze the differences between consecutive terms:
   - $160 - 140 = 20$
   - $182 - 160 = 22$
   - $206 - 182 = 24$
   - $234 - 206 = 28$
   - $260 - 234 = 26$

2. The differences should ideally form a pattern. Here, the differences are:
   $$20, 22, 24, 28, 26$$

3. Notice that the differences are increasing by 2 initially ($20 	o 22 	o 24$), but then jump to $28$ and then decrease to $26$. This breaks the pattern.

4. If the pattern is increasing by 2 each time, the differences should be:
   $$20, 22, 24, 26, 28$$

5. Let's check what the correct 5th term should be if the difference after $24$ is $26$:
   - $4^{th}$ term is $206$
   - $5^{th}$ term = $206 + 26 = 232$

6. The given $5^{th}$ term is $234$, which is incorrect.

7. Therefore, the wrong number in the series is $234$.

**Answer:** $234$

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