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Find the 12thterm of the following geometric sequence.5, 10, 20, 40,

User Mifeet
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1 Answer

6 votes
Given

5, 10, 20, 40, . . .

SolutionStep1 Find the common ratio(r)
r=(a_2)/(a_1)=(10)/(5)=2Step 2

The geometric sequence formula


a_n=a_1* r^(n-1)Step 3
\begin{gathered} r=2,\text{ } \\ a_1=5 \\ n=12 \end{gathered}Step 4
\begin{gathered} a_(12)=5*2^(12-1) \\ a_(12)=5*2^(11) \\ a_(12)=10240 \end{gathered}The final answer The 12th term of the geometric sequence is 10240
User Lukasz Szozda
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6.8k points
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