4567
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The pattern rule for the sequence 3, 19, 99, 499, 2499 is that each term is obtained by multiplying the previous term by 5 and then adding 4. This can be represented by the formula ( a_n = 5a_{n-1} + 4 ), where ( a_n ) represents the nth term in the sequence. So, for example, starting with 3, the next term would be ( 5 \times 3 + 4 = 19 ), and so on.
In the number 499, there are two twos. The first two is in the hundreds place, representing 200. The second two is in the units place, representing 2.
That series is the cubes of the counting numbers.
It is not a rule as such; those number are the first 10 prime numbers.
One rule for this pattern is to add twice the previous value added 4 + 1 = 5 5 + 2×1 = 5 + 2 = 7 7 + 2×2 = 7 + 4 = 11 11 + 2×4 = 11 + 8 = 19 Continuing the next numbers would be: 19 + 2×8 = 19 + 16 = 35 35 + 2×16 = 35 + 32 = 67 ...