What should be the next term in the series 2, 3, 6, 6,

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).