Explanation:
let's figure out the pattern and find the next two terms together. Looking at the given sequence 12, 48, 192, 768, we can observe that each term is obtained by multiplying the previous term by 4.
Here's how it works:
- The first term, 12, is multiplied by 4 to get the second term, which is 48 (12 * 4 = 48).
- The second term, 48, is multiplied by 4 to get the third term, which is 192 (48 * 4 = 192).
- The third term, 192, is multiplied by 4 to get the fourth term, which is 768 (192 * 4 = 768).
Following this pattern, we need to multiply the last term, 768, by 4 to find the fifth term. So, 768 * 4 = 3072. Therefore, the next term in the sequence is 3072.
To find the sixth term, we need to multiply the fifth term, 3072, by 4 as well. Thus, 3072 * 4 = 12288. Therefore, the sixth term in the sequence is 12288.
So, the next two terms in the pattern are 3072 and 12288.