MATH SOLVE

3 months ago

Q:
# Give the next two terms in the following sequence: -18, -17, -9, 18, 82

Accepted Solution

A:

Answer:207, 423Step-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.