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34 votes
34 votes
I need help with question 8 this is non graded

I need help with question 8 this is non graded-example-1
User Bonner
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1 Answer

22 votes
22 votes

Given


a_6^=8192;a_n=4a_(n-1)

Step-by-step explanation

From the above,


\begin{gathered} a_6=4a_(6-1)\Rightarrow4a_5 \\ From\text{ the definition of a common ratio} \\ r=(a_6)/(a_5)=4 \\ Also; \\ a_6=ar^5 \\ 8192=a4^5 \\ a=(8192)/(4^5)=(8192)/(1024)=8 \\ \end{gathered}

Therefore, we can have the first four terms as


\begin{gathered} a=8 \\ ar=8*4=32 \\ ar^2=8*4^2=128 \\ ar^3=8*4^3=512 \end{gathered}

Answer: Option C

User Frederik Deweerdt
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3.1k points
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