Question 1159435
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It is three steps from 2 to 23, a difference of 21 = 3*7; and it is 2 steps from 23 to 37, a difference of 14 = 2*7.<br>
So it MIGHT BE that this is simply an arithmetic sequence with a common difference of 7:<br>
2, 9, 16, 23, 30, 37<br>
However, as tutor @ikleyn said in her response, in ANY question like this you can put ANY numbers in the blanks and it will be a valid sequence.<br>
If the problem asked you to fill in the missing numbers in an arithmetic sequence, then you could solve the problem knowing that your answer was correct.<br>
But when the problem only says "what is the pattern", then you can only guess what the answer is supposed to be.<br>