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What is the value of the next term in the geometric sequence graphed below?A. 0.125B. 4C. 2D. 0.25

What is the value of the next term in the geometric sequence graphed below?A. 0.125B-example-1

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Solution:

In the geometric sequence graphed below;

The sequence in list form is;


4,2,1,0.5,...

The first term is 4, and the common ratio, r, is;


\begin{gathered} r=(a_2)/(a_1) \\ \\ r=(2)/(4)=(1)/(2) \\ \\ r=0.5 \end{gathered}

0.5The nth term of a geometric sequence is;


a_n=ar^(n-1)

Thus, the fifth term of the sequence is;


\begin{gathered} n=5; \\ \\ a_5=4(0.5)^(5-1) \\ \\ a_5=4(0.5)^4 \\ \\ a_5=0.25 \end{gathered}

CORRECT OPTION: (D) 0.25

What is the value of the next term in the geometric sequence graphed below?A. 0.125B-example-1
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