2, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 142
which of these numbers follow this formula:
a cubed number - 3
(this could be any cubed number
2, 17, 50, 101
wrong
Apologies for the mistake. Let's try again.
To find which numbers follow the formula "a cubed number - 3", we need to calculate the cube of each number in the given sequence and subtract 3 from it:
2^3 - 3 = 8 - 3 = 5
5^3 - 3 = 125 - 3 = 122
10^3 - 3 = 1000 - 3 = 997
17^3 - 3 = 4913 - 3 = 4910
26^3 - 3 = 17576 - 3 = 17573
37^3 - 3 = 50653 - 3 = 50650
50^3 - 3 = 125000 - 3 = 124997
65^3 - 3 = 274625 - 3 = 274622
82^3 - 3 = 551368 - 3 = 551365
101^3 - 3 = 1030301 - 3 = 1029998
122^3 - 3 = 1815848 - 3 = 1815845
142^3 - 3 = 2915458 - 3 = 2915455
So the numbers that follow the formula "a cubed number - 3" are: 5, 122, 997, 4910, 17573, 50650, 124997, 274622, 551365, 1029998, 1815845, 2915455.
To determine which numbers in the given list follow the formula of "a cubed number - 3," we need to evaluate each number in the list. The formula for finding a cubed number is a^3, where "a" represents any integer. We can then subtract 3 from the result to see if it matches the original number.
Let's go through each number in the list and apply the formula:
1. 2: (2^3) - 3 = 8 - 3 = 5 ✅
2. 5: (5^3) - 3 = 125 - 3 = 122 ✅
3. 10: (10^3) - 3 = 1000 - 3 = 997 ❌
4. 17: (17^3) - 3 = 4913 - 3 = 4910 ❌
5. 26: (26^3) - 3 = 17576 - 3 = 17573 ❌
6. 37: (37^3) - 3 = 50653 - 3 = 50650 ❌
7. 50: (50^3) - 3 = 125000 - 3 = 124997 ❌
8. 65: (65^3) - 3 = 274625 - 3 = 274622 ❌
9. 82: (82^3) - 3 = 551368 - 3 = 551365 ❌
10. 101: (101^3) - 3 = 1030301 - 3 = 1030298 ❌
11. 122: (122^3) - 3 = 1815842 - 3 = 1815839 ❌
12. 142: (142^3) - 3 = 2814922 - 3 = 2814919 ❌
Based on our evaluation, only the numbers 2 and 5 follow the formula "a cubed number - 3."