We are given a series: 325, 259, 202, 160, 127, 105, 94
We need to identify the wrong number in this sequence.
Step 1: Find the differences between consecutive terms
259 - 325 = -66
202 - 259 = -57
160 - 202 = -42
127 - 160 = -33
105 - 127 = -22
94 - 105 = -11
So, the differences are:
-66, -57, -42, -33, -22, -11
Now observe the pattern in differences:
From -66 to -57 → +9
From -57 to -42 → +15
From -42 to -33 → +9
From -33 to -22 → +11
From -22 to -11 → +11
This is inconsistent and does not follow a simple arithmetic or geometric pattern.
Alternative Approach: Try reconstructing a logical series
Let’s try building a new consistent series from 325 using a decreasing pattern:
325 → -66 → 259
259 → -51 → 208
208 → -42 → 166
166 → -33 → 133
133 → -22 → 111
111 → -11 → 100
This gives us: 325, 259, 208, 166, 133, 111, 100
Clearly, 202 in the original series breaks this potential pattern.
Conclusion:
The wrong number in the given series is 202.