1. Describe the error in finding the sum of the first 50 odd integers. S, = la,...

1. Describe the error in finding the sum of the first 50 odd integers.

2. A steel ball with negligible air resistance is dropped from an airplane. The figure shows the distance that the ball falls during each of the first four seconds after it is dropped.

(a) Describe a pattern in the distances shown. Explain why the distances form a finite arithmetic sequence.
(b) Assume the pattern described in part (a) continues. Describe the steps and formulas involved in using the sum of a finite sequence to find the total distance the ball falls in n seconds, where n is a whole number.

Transcribed Image Text:

S, = "la, + a,) 50 (1 + 101) = 2550 || 1 second 4.9 m 14.7 m 2 seconds 24.5 m 3 seconds 34.3 m 4 seconds