Mathematics
Grade10
Easy

Question

A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth swing. If the pattern continues, what explicit formula can be used to find the distance of the nth swing?

  1. a subscript n end subscript equals 68.59 open parentheses 0.95 close parentheses    
  2. a subscript n end subscript equals 80 open parentheses open parentheses 0.95 close parentheses to the power of n minus 1 end exponent close parentheses    
  3. a subscript n end subscript equals a subscript n minus 1 end subscript    
  4. a subscript n end subscript equals 0.95    

Hint:

The given series is a geometric progression with the constant ratio of terms as 0.95

The correct answer is: a subscript n end subscript equals 80 open parentheses open parentheses 0.95 close parentheses to the power of n minus 1 end exponent close parentheses


    The sequence formed by the pendulum is 80, 76, 72.2, 68.59…
    The constant ratio of terms is 0.95
    The explicit formula to represent the sequence is a subscript n end subscript equals 80 open parentheses open parentheses 0.95 close parentheses to the power of n minus 1 end exponent close parentheses

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