To find the next three terms in the pattern 5, 20, 80, 320, we can first analyze how the terms are being generated.
- From 5 to 20: multiply by 4 (5 * 4 = 20)
- From 20 to 80: multiply by 4 (20 * 4 = 80)
- From 80 to 320: multiply by 4 (80 * 4 = 320)
It appears that each term is being multiplied by 4 to get the next term. Continuing this pattern:
- For the next term after 320: \( 320 \times 4 = 1280 \)
- Next term: \( 1280 \times 4 = 5120 \)
- Next term: \( 5120 \times 4 = 20480 \)
So, the next three terms in the sequence are 1280, 5120, and 20480.