Answer:
480, 484, and 1452
Step-by-step explanation:
To find the next three numbers to the sequence, we would first have to find the pattern between all of the numbers. Lets look at the first two numbers. 12 is 4 multiplied by 3. 12 is also 4 added with 8. Lets see if any of these work for the other sets of numbers:
4 × 3 = 12 Good
4 + 8 = 12 Good
12 × 3 ≠ 16
12 + 8 ≠ 16
16 × 3 = 48 Good
16 + 8 ≠ 48
48 × 3 ≠ 52
48 + 8 ≠ 52
52 × 3 = 156 Good
52 + 8 ≠ 156
156 × 3 ≠ 160
156 + 8 ≠ 160
So from what we can see, only the multiply by 3 pattern works more than once, but it seems to only work every other pair of numbers. The pattern may be alternating, so lets try to find the pattern between the other pairs of numbers that the multiply by 3 pattern does not work for.
12 and 16
48 and 52
156 and 160
You should be able to see here that the pattern for these pairs of numbers is adding 4. So the pattern for the entire set of numbers alternates between multiply by 3 and add 4. Knowing this, we can find the next three numbers
So right before the first missing number there was an add 4. So this time we must multiply by 3 to find the first missing number.
160 × 3 = 480
So the first missing number is 480. Now we add 4 to find the next missing number.
140 + 4 = 484
So the second missing number is 484. Now to find the final missing number, we multiply by 3 again.
484 × 3 = 1452
So the third missing number is 1452.
The three missing numbers are 480, 484, and 1452.
I hope you find my answer and explanation to be helpful. Happy studying.
