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23-12-2021
Mathematics

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If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______

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surjithayer10otahza surjithayer10otahza

23-12-2021

Answer:

Step-by-step explanation:

r=60/100=0.6<1

[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]

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