Question
What should be the next term in the series 2, 3, 6, 6,
10, 9, 14, 12, ___ ?Solution
This is an alternating series in which the terms at odd and even positions follow different rules. Odd terms à Starting with 2, you get the next term by adding 4 to the previous term at an odd position. So, 2, (2+4) = 6, (6+4) = 10 and so on. Even terms à Starting with 3 you keep going up in multiples of 3 at every subsequent even positions. So, 3, 6, 9, 12, and so on. Since the next term is at an odd position, it will be equal to 14+4 = 18. Hence, the correct answer is option (D).
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