a 1 = 2 + 2 1 = 2 + 2 = 4 a 2 = 2 + 2 2 = 2 + 4 = 6 a 3 = 2 + 2 3 = 2 + 8 = 10 a 4 = 2 + 2 4 = 2 + 16 = 18 a 5 = 2 + 2 5 = 2 + 32 = 34 a 6 = 2 + 2 6 = 2 + 64 = 66 a 7 = 2 + 2 7 = 2 + 128 = 130 a 8 = 2 + 2 8 = 2 + 256 = 258 a 9 = 2 + 2 9 = 2 + 512 = 514 a 10 = 2 + 2 10 = 2 + 1024 = 1026 ⋮
The next number in the sequence 4, 6, 10, 18, 34, 66, 130 is 258. This is found by adding powers of 2 to each number in the series. The pattern involves adding 2, 4, 8, 16, 32, 64, and the next is 128 to reach 258.
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