Find the next number in the series: 3, 12, 48, 192, 768, ____

Key insight: each term is multiplied by 4 to get the next term.

• 3 × 4 = 12

• 12 × 4 = 48

• 48 × 4 = 192

• 192 × 4 = 768

• 768 × 4 = 3072

Therefore the next number in the series is 3072.

Note: The original solution image contained arithmetic transcription errors. This written solution clearly shows the correct multiply-by-4 pattern and the final result.