# A perineum

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

Result

a9 =  10.331

#### Solution:

$a_{1}=24 \ \\ q=1 - \dfrac{ 10 }{ 100 }=\dfrac{ 9 }{ 10 }=0.9 \ \\ \ \\ a_{9}=a_{1} \cdot \ q^{ 9-1 }=24 \cdot \ 0.9^{ 9-1 } \doteq 10.3312 \doteq 10.331$

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