Question

Find the next three termsof sequence 6 24 96 384

Answer 1

Answer:

The next three terms are 1,536; 6,144; 24,576

Step-by-step explanation:

The easiest way to find a pattern of a sequence is to look at the first 2 terms and try to find how the sequence got from the first to the second term.

The first two terms are 6 and 24.

If you know you multiplication table, you know that 6 x 4 = 24. So, there is a possibility that the pattern is multiplying the given number by 4, then multiplying the product by 4 to find the next number.

Now, just test it out:

6 x 4 = 24

24 x 4 = 96

96 x 4 = 384

Now that you've proven this pattern works, you keep the pattern going three more times:

384 x 4 = 1,536

1,536 x 4 = 6,144

6,144 x 4 = 24,576