how do i find r in a geometric sequence of (243, 81, 27)? also how do i find the explicit formula for this?

Step-by-step explanation:

The initial term is 243. Since it is a geometric sequence, each term is r times the preceding term.

r = 81/243 = ⅓

nth term = a₁rⁿ⁻¹ = 243(⅓)ⁿ⁻¹

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

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