Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
0, 4, 18, 48, 100, 180, ?
Option 1: 294
Option 2: 211
Option 3: 186
Option 4: 222
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Correct Answer: 294
Solution :
Given:
0, 4, 18, 48, 100, 180, ?
Let's apply the pattern –
(1)³ – (1)² = 1 – 1 = 0
(2)³ – (2)² = 8 – 4 = 4
(3)³ – (3)² = 27 – 9 = 18
(4)³ – (4)² = 64 – 16 = 48
(5)³ – (5)² = 125 – 25 = 100
(6)³ – (6)² = 216 – 36 = 180
(7)³ – (7)² = 343 – 49 = 294
Hence, the first option is correct.
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