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 result:

a9 =  10.3312

Solution:

a1=24 q=1−10100=910=0.9  a9=a1⋅ q9−1=24⋅ 0.99−1=10.3312

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