The first term of a geometric sequence is -2 and the common ratio is 3, What is the sixth term of the sequence? Also, Write the Recursive Rule fo the seqeunce from above ^

a₆ = - 486

Step-by-step explanation:

The nth term of a geometric sequence is

= a₁

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 3 , then

a₆ = - 2 = - 2 × 243 = - 486

The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

= 3 with a₁ = - 2

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:

answer

step-by-step explanation: