Question

Identify and extend the pattern to find the next number in this sequence: 3, 12, 48, 192, ...

a) 336
b) 228
c) 768
d) 2017

Answer 1

The pattern in the sequence involves multiplying each number by 4. Therefore, multiplying the last number 192 by 4 gives us 768 as the next number in the sequence.

Step-by-step explanation:

To identify and extend the pattern in the sequence 3, 12, 48, 192, we need to look for a numerical relationship between consecutive numbers. Observing the sequence, each number is four times the previous number (3 x 4 = 12, 12 x 4 = 48, 48 x 4 = 192). Therefore, to find the next number, we multiply the last number in the sequence by 4.

192 x 4 = 768

The next number in the sequence is 768, which corresponds to option c.