Identify the numbers which will fall in the given series 0, 3, 10, 21, 36, ... Choose the correct answer from the options given below.
1.55
2.78
3.99
4.105
5.136
A1, 2, 3 and 4 only
B2, 3 and 5 only
C3, 4, 5 and 1 only
D4, 5, 1 and 2 only ✓ Correct
Correct answer: (D) 4, 5, 1 and 2 only
Explanation
The numbers 55, 78, 105 and 136 occur in the series.
Each term follows 2n^2 - 3n + 1: 0, 3, 10, 21, 36.
55 = 2(36) - 18 + 1 (n = 6) and 78 = 2(49) - 21 + 1 (n = 7).
105 = 2(64) - 24 + 1 (n = 8) and 136 = 2(81) - 27 + 1 (n = 9).
99 is not of this form.
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