Find the wrong term in the following number series- निम्नलिखित संख्या श्रृंखला में गलत पद ज्ञात कीजिये – 204 35 10 3 2 2
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Find the wrong term in the following number series- निम्नलिखित संख्या श्रृंखला में गलत पद ज्ञात कीजिये – 204 35 10 3 2 2
None of these इनमे से कोई नहीं
35
204
10
3
The pattern from right to left is: 2, 2+0=2, 2+1=3, 3+7=10, 10+25=35, 35+169=204. The differences are 0, 1, 7, 25, 169. These are 6^0, 6^1-5, 6^2-29, 6^3-191, 6^4-1647... not clear. Let me try left to right: 204→35→10→3→2→2. 204/6=34, +1=35. 35/4=8.75, +1.25=10. Not clear. Try: 204-35=169, 35-10=25, 10-3=7, 3-2=1, 2-2=0. The second differences: 169-25=144, 25-7=18, 7-1=6, 1-0=1. These are 12^2, not 12^2, 6, 1. Not a clear pattern. Actually, 204÷6≈34, 35÷7=5, 10÷5=2, 3÷3=1, 2÷2=1. Not clear. Let me try: 204-35=169=13^2, 35-10=25=5^2, 10-3=7 (not square), 3-2=1=1^2, 2-2=0=0^2. The pattern is squares except for 7. So the difference 35-10=25 is correct, but 10-3=7 breaks it. If 10 were replaced with 11, we'd have 11-3=8 (still not square). If 10 were 4, then 4-3=1=1^2. But 35-4=31 not square. Actually, the wrong term is 10 because it doesn't fit the pattern of differences being perfect squares (0, 1, 7 should be a square, 25, 169).