Answer:
390
Explanation:
The given sequence has no common difference or ratio, so finding the rule that describes it is mainly accomplished by trial and error.
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We notice that the ratio of the first two numbers is 2, the difference of the second pair is 3, the ratio of the third pair is 4, the difference of the next pair is 5.
This suggests that we are alternating addition and multiplication, and that the values involved increase by 1 each time.
Addition of 5 was used last, so we expect the next number to be found by multiplying by 6.
65 × 6 = 390 . . . . . the next number