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Question 1 of 10 What is the value of the fourth term in a geometric sequence for which ay = 15 and r= 1/3? Express your answer as a fraction. Answer here​

Sagot :

absor201

Answer:

The fourth term of given geometric sequence is 5/9

Step-by-step explanation:

The general formula for geometric sequence is given by:

[tex]a_n = a_1.r^{(n-1)}[/tex]

Here a_n is the nth term,

a_1 is the first term

and r is the common ratio.

It is given in the question that

[tex]a_1 = 15\\r = \frac{1}{3}[/tex]

Putting these values

[tex]a_n = 15 . (\frac{1}{3})^{n-1}[/tex]

For 4th term, we will put n=4

So,

[tex]a_4 = 15 . (\frac{1}{3})^{4-1}\\a_4 = 15 . (\frac{1}{3})^3\\a_4 = 15 . \frac{1}{27}\\a_4 = \frac{15}{27}\\a_4 = \frac{5}{9}[/tex]

Hence,

The fourth term of given geometric sequence is 5/9

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