Question

You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total distance the object will fall in 6 seconds?

Answer 1

The total distance the object will fall in 6 seconds is 176 feet.

How to calculate the distance?

From the information, the distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third.

In this case, the arithmetic sequence will be represented by:

= a + (n - 1)d.

where a = first term = 16

n = number of terms = 6

d = common difference = 48 - 16 = 32

The 6th term will be:

= a + (n - 1)d.

= 16 + (6 - 1)32

= 16 + (5 × 32)

= 16 + 160

= 176

The distance is 176 feet.

Learn more about sequence on:

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