What is the 8th term of this geometric sequence?
1, 3, 9, 27,...

2187

Step-by-step explanation:

To find the 8th term, we can find and use the explicit formula.

The standard form of the explicit formula for a geometric sequence is:

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the first term is 1, and each term is 3 times the previous term. Thus, the common ratio is 3.

Substituting these into our equation, we will have:

So, to find the 8th term, substitute 8 for n:

Subtract:

Evaluate:

So, the 8th term is 2187.

And we're done!

the answer is 1 becuz if it were 1.0 that would rip apart the entire so ya. : )

~potato.

copyright potato 2019.