The next number in the pattern is 48. This pattern adds multiples of three to the existing number.
3 + (3 x 0) = 3
3 + (3 x 1) = 6
6 + (3 x 2) = 12
12 + (3 x 3) = 21
21 + (3 x 4) = 33
33 + (3 x 5) = 48
etc.
The GCF is 3.
21-3=18 18/2=9 9*3=27 that is the pattern so after the 36 it should be 33
3, -6, 12, 4, 20, 13, 27, 21, 33 -9, +18, -8, +16, -7, +14, -6, +12
3, -6, 12, 4, 20, 13, 27, 21, 33 -9, +18, -8, +16, -7, +14, -6, +12
The next three numbers are: 87, 141, 228. Each number in the sequence after the first two is the sum of the previous two numbers. This is a variation of the Fibonacci sequence which starts with 1, 1, ... (and then continues ..., 2, 3, 5, 8, 13, ...).
The pattern in the sequence 3, 6, 12, 21 can be identified by examining the differences between consecutive terms: 6-3=3, 12-6=6, and 21-12=9. The differences (3, 6, 9) are increasing by 3 each time. Continuing this pattern, the next difference would be 12 (9 + 3). Therefore, the next number in the sequence is 21 + 12, which equals 33.
The GCF is 3.
3
21-3=18 18/2=9 9*3=27 that is the pattern so after the 36 it should be 33
3, -6, 12, 4, 20, 13, 27, 21, 33 -9, +18, -8, +16, -7, +14, -6, +12
3, -6, 12, 4, 20, 13, 27, 21, 33 -9, +18, -8, +16, -7, +14, -6, +12
The factors of 21 are: 1, 3, 7, 21 The factors of 33 are: 1, 3, 11, 33
To solve for ( x ) in the equation (-4x + 3(x - 7) - 12 = 0), first distribute the 3: (-4x + 3x - 21 - 12 = 0). Combine like terms: (-4x + 3x - 21 - 12 = -x - 33 = 0). Solving for ( x ), we get ( -x = 33), thus ( x = -33 ).
The first three multiples of 12 are 12, 24, and 36.
The next three numbers are: 87, 141, 228. Each number in the sequence after the first two is the sum of the previous two numbers. This is a variation of the Fibonacci sequence which starts with 1, 1, ... (and then continues ..., 2, 3, 5, 8, 13, ...).
The GCF of 33 and 21 is 3.
The greatest common factor of 21 and 33 is 3. The factors of 21 are 1,3,7,21 and the factors of 33 are 1,3,11 and 33 so the GCF is 3