4, 12, 16, 48, 52, 156, 160, ______, _______, _______
x3 +4 x3 +4 x3 +4
That pattern is: multiply by 3, add 4, multiply by 3, add 4, ...
160 x 3 = 480
480 + 4 = 484
484 x 3 = 1452
Answer: 480, 484, 1452
The next 3 numbers are 480, 484, 1452
The given sequence is:
4,12,16,48,52,156,160,_,_,_
The rule of the sequence is:
The last three terms are the 7th, 8th, and 9th terms
The 7th term is:
[tex]T_7=3T_6\\\\T_7=3(160)\\\\T_7=480[/tex]
The 8th term is:
[tex]T_8=T_7+4\\\\T_8=480+4\\\\T_8=484[/tex]
The 9th term is:
[tex]T_9=3T_8\\\\T_9=3(484)\\\\T_9=1452[/tex]
Therefore, the next 3 numbers are 480, 484, 1452
Learn more on next numbers of sequence here: https://brainly.com/question/6561461
