PippinK607370 PippinK607370

25-10-2022
Mathematics

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What is the value of the fourth term in a geometric sequencefor which a, = 10 and r= 0.5?

What is the value of the fourth term in a geometric sequencefor which a 10 and r 05 class=

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MalillanyX512379 MalillanyX512379

25-10-2022

Solution

[tex]\begin{gathered} T_n=ar^{n-1} \\ \\ T_4=10(\frac{1}{2})^{4-1} \\ \\ T_4=10(\frac{1}{8}) \\ \\ T_4=\frac{5}{4} \\ \\ T_4=1.25 \end{gathered}[/tex]

The answer is

[tex]1.25[/tex]

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