6. You visit the Royal Gorge Bridge near Canon City, Colorado. When walking across the bridge you nudge a small stone off the bridge deck and watch it fall. The distance the stone drops is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence.
Part I: How far does the stone fall during the fifth second? Find and use the explicit formula.

Question

6. You visit the Royal Gorge Bridge near Canon City, Colorado. When walking across the bridge you nudge a small stone off the bridge deck and watch it fall. The distance the stone drops is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence.
Part I: How far does the stone fall during the fifth second? Find and use the explicit formula.

here_to_help15 · Answer

Well it appears to fall 32 ft/sec, because that's the difference between 80 and 48, and 48 and 16. So add 32 for each value. The equation for this is 16 + 32 (x-1), so equal that to 1053 and solve for x.