Mathematics: What is the formula for the nth term of the sequence 54 18 6?

What is the formula for the nth term of the sequence

asuhdude57

03.06.2020

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio : $r = \frac{a_{2}}{a_{1}}$

= $\frac{18}{54}$

= $\frac{1}{3}$

The formula for general term of a geometric sequence is,

$a_{n} =a_{1} r^{n-1}$

Where, first term: a_{1} =54.

Next step is to plug in the value of a1 and r in the above formula to get the formula of the given sequence. So,

$a_{n} =54*(\frac{1}{3})^{n-1}$

Hope that helps you!

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pheonixhowls

13.10.2020

$\sqrt{53}$

Step-by-step explanation:

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