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What should come in place of question mark ‘?’ in the following number series?
81, 192, 375, 648, ?
81, 192, 375, 648, ?
- A1029
- B1376
- C1442
- D1138
Answer not set
Discussion 1
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CCommunity
The pattern of the above problem is:
First Term, 81 = (9)2 – (0)2
Second term, 192 = (14)2 – (2)2 = (9 + 5)2 – (0 + 2)2
Third Term, 375 = (20)2 – (5)2 = (14 + 6)2 – (2 + 3)2
Fourth Term, 648 = (27)2 – (9)2 = (20 + 7)2 – (5 + 4)2
∴ Fifth Term, ? = (27 + 8)2 – (9 + 5)2 = (35)2 – (14)2 = 1029
First Term, 81 = (9)2 – (0)2
Second term, 192 = (14)2 – (2)2 = (9 + 5)2 – (0 + 2)2
Third Term, 375 = (20)2 – (5)2 = (14 + 6)2 – (2 + 3)2
Fourth Term, 648 = (27)2 – (9)2 = (20 + 7)2 – (5 + 4)2
∴ Fifth Term, ? = (27 + 8)2 – (9 + 5)2 = (35)2 – (14)2 = 1029