Question

1001,8001,27001,64001,125001,....

Answer 1

Answer:

The series is 103 + 1 , 203 + 1 ,303 + 1, etc.

The next number is 603 + 1 = 216001

Answer 2

Solution :-

Logic :- T(n) = (10n)³ + 1

Explanation :-

→ T(1) = (10 * 1)³ + 1 = 10³ + 1 = 1000 + 1 = 1001

→ T(2) = (10 * 2)³ + 1 = 20³ + 1 = 8000 + 1 = 8001

→ T(3) = (10 * 3)³ + 1 = 30³ + 1 = 27000 + 1 = 27001

→ T(4) = (10 * 4)³ + 1 = 40³ + 1 = 64000 + 1 = 64001

→ T(5) = (10 * 5)³ + 1 = 50³ + 1 = 125000 + 1 = 125001

→ T(6) = (10 * 6)³ + 1 = 60³ + 1 = 216000 + 1 = 216001 (Ans.)

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