Respuesta :
If the first term of a geometric sequence is 8 and the common ratio is 3. Then the fifth term of the geometric sequence will be 648.
What is a geometric sequence?
There are three parameters that differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply the previous term to get the next term.
The third parameter is the length of the sequence. It can be finite or infinite.
Suppose the initial term of a geometric sequence is 'a' and the term by which we multiply the previous term to get the next term is 'r' (also called the common ratio)
The first term of a geometric sequence is 8 and the common ratio is 3.
Then the fifth term of the sequence will be
[tex]\rm T_n = a_1 \ r^{n-1}[/tex]
Then we have
T₅ = 8 x 3⁵⁻¹
T₅ = 8 x 3⁴
T₅ = 8 x 81
T₅ = 648
Learn more about geometric sequence here:
https://brainly.com/question/2735005
#SPJ2
