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 distance will the penny fall in the sixth second?

Respuesta :

Answer:

Step-by-step explanation:

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. The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n-1)d

Where

a represents the first term of the sequence.

n represents the number of terms

d represents the common difference.

From the information given,

a = 16

d = 48 - 16 = 80 - 48 =32

n = 6

T6 represents the sixth term of the sequence. Therefore

T6 = 16 + (6-1)32

T6 = 16 + 160

T6 = 176

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