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What is a formula for the nth term of the given sequence?135, -225,375...

What Is A Formula For The Nth Term Of The Given Sequence135 225375 class=

Sagot :

Step 1: Write out the formula for a geometric sequence

[tex]\begin{gathered} T_n=ar^{n-1} \\ \text{Where} \\ T_n=\text{ the nth term} \\ a=\text{ the first term} \\ r=\text{ the common ratio} \end{gathered}[/tex]

Step 2: Write out the given values and find the formula

[tex]\begin{gathered} a=135, \\ r=-\frac{225}{135}=-\frac{5}{3} \end{gathered}[/tex]

Therefore the formula is given by

[tex]T_n=135(-\frac{5}{3})^{n-1}[/tex]

Hence, the correct choice is the first choice

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