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the distance traveled by a swinging pendulum decreases after each swing. The first wings distance was 625 mm, The second was 500 mm the third, 400. What was the swing distance be for the seventh swing?

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sqdancefan

Answer:

  163.84 mm

Step-by-step explanation:

The swing distances form a geometric sequence with first term 625 and common ratio 500/625 = 0.8. The formula for the general term of such a sequence is ...

  an = a1×r^(n-1)

Then the 7th term of the sequence will be ...

  a7 = 625×0.8^(7-1) ≈ 163.84 . . . mm

Answer:

The swing distances form a geometric sequence with first term 625 and common ratio 500/625 = 0.8. The formula for the general term of such a sequence is ...

 an = a1×r^(n-1)

Then the 7th term of the sequence will be ...

 a7 = 625×0.8^(7-1) ≈ 163.84 . . . mm

Step-by-step explanation:

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