What is the pattern for 3, 19, 99, 499, 2499
To find the pattern in the given sequence 3, 19, 99, 499, 2499, let's observe the differences between consecutive terms:
19 - 3 = 16
99 - 19 = 80
499 - 99 = 400
2499 - 499 = 2000
The differences between terms are increasing, with a pattern of multiplying by 5 each time.
Therefore, to generate the next term, we would take the previous term (2499) and add the next difference, which is 2000 * 5 = 10,000.
Hence, the next term in the sequence would be 2499 + 10,000 = 12,499.
Therefore, the pattern in the sequence is that each term is obtained by multiplying the difference by 5 and adding it to the previous term.
3 = 4(5^0) - 1
19 = 4(5^1) - 1
99 = 4(5^2) - 1
499 = 4(5^3) - 1
2499 = 4(5^4) - 1
mmmh?