The differences between the numbers is being multiplied by 3 every time. Therefore, the difference between 202 and the next term will be equal to (202 - 67) x 3 = 405. The next number in the sequence will therefore be 607.
2,7,22,67,?
The pattern in the sequence 2, 7, 22, 67 involves multiplying the previous term by 3 and then subtracting 1. Specifically: (2 \times 3 - 1 = 7), (7 \times 3 - 1 = 22), and (22 \times 3 - 1 = 67). Following this rule, the next term would be (67 \times 3 - 1 = 200).
Each term is increased by adding five times three to an increasing exponent. 2 + 5 x 3 to the zero = 7 + 5 x 3 to the first = 22 + 5 x 3 squared = 67 The next term would be 202 which makes the rule something like n = n + 5 x 3 to the x+1, but please double-check that.
The pattern rule for the sequence 97, 88, 78, 67 is that each number decreases by 9. Starting from 97, subtracting 9 gives 88; subtracting 9 from 88 results in 78, and subtracting 9 from 78 gives 67. Thus, the next number in the sequence would be 67 - 9 = 58.
89
67 with remainder 1.
22 times 67 is 1,474.
67% of 22 = 22*67/100 = 14.74 = 15 (rounded)
67-89 = -22
202
-22
67