A perineum

A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?

Correct answer:

a₉ =  10.3312

Step-by-step explanation:

$$\begin{gathered} a_1=24 \\ q=1-{\displaystyle \frac{10}{100}}={\displaystyle \frac{9}{10}}=0.9 \\ {a}_9=a_1\cdot q^{9-1}=24\cdot 0.9^{9-1}=10.3312 \end{gathered}$$

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