Answer:
207, 423
Step-by-step explanation:
At first glance, it looks like there isn't a pattern but upon closer inspection, we can see a pattern. -18 to -17 has a difference of 1, -17 to -9 has a difference of 8, and -9 to 18 has a difference of 27. 1^3 = 1, 2^3 = 8, and 3^3 = 27 and so on. 82 - 18 = 64 = 4^3. So then we can assume the pattern has a relationship to the cube of numbers. 82+5^3 = 82+125 = 207. 207+6^3 = 207+216 = 423.
The next two numbers of the sequence are 207 and 423.
Given to us,
the sequence, -18, -17, -9, 18, 82,.....
If we look at the difference between every two consecutive terms,
-17 - (-18) = 1,
-9 - (-17) = 8,
18 - (-9) = 27,
82 - 18 = 64,
therefore, the difference is a series of cubes of natural numbers,
for example, 1, 8, 27, 64, 125, 216, 343, ......
Thus,
the next number will be 82+ 5³ = 82+125 = 207,
Further,
the next number will be 207+ 6³ = 207+216 = 423,
Hence, the next two numbers of the sequence are 207 and 423.
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