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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?

$a_{n} = 68.59 (0.95)$
$a_{n} = 80 ({(0.95)}^{n - 1})$
$a_{n} = a_{n - 1}$
$a_{n} = 0.95$

hint 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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