answersLogoWhite

0

To determine the fifth term of a geometric sequence, you can use the formula for the nth term: ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the term number. Given that the first term ( a_1 ) is 10 and the common ratio ( r ) is not provided, the fifth term can be expressed as ( a_5 = 10 \cdot r^{4} ). Without the specific value of the common ratio ( r ), the fifth term cannot be calculated numerically.

User Avatar

AnswerBot

8mo ago

What else can I help you with?

Related Questions

What is the fifth term of the geometric sequence?

It is a*r^4 where a is the first term and r is the common ratio (the ratio between a term and the one before it).


What is the common ratio sequence of 3?

A common ratio sequence, or geometric sequence, is defined by multiplying each term by a fixed number, known as the common ratio. If the first term of the sequence is 3 and the common ratio is, for example, 2, the sequence would be 3, 6, 12, 24, and so on. If the common ratio were instead 1/2, the sequence would be 3, 1.5, 0.75, 0.375, etc. Essentially, the sequence can vary widely based on the chosen common ratio.


Which sequence is a geometric sequence having 4 as its first term and 3 as the common ratio?

You start with the number 4, then multiply with the "common ratio" to get the next term. That, in turn, is multiplied by the common ratio to get the next term, etc.


Does the terms of an arithmetic sequence have a common ratio?

No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.


If a geometric sequence has a common ratio of 4 and if each term of the sequence is multiplied by 3what is the common ratio of the resulting sequence?

the answer is 4


What is the common ratio of the following sequence 80 20 5 ...?

To find the common ratio of the sequence 80, 20, 5, you divide each term by the previous term. For the first two terms, the ratio is 20/80 = 1/4. For the next two terms, the ratio is 5/20 = 1/4 as well. Thus, the common ratio of the sequence is 1/4.


What is the 7th term in the geometric sequence whose first term is 5 and the common ratio is -2?

Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5


What is the third term of a sequence that has a first term of 3 and a common ratio of 3?

27


What is geometric sequence in math mean?

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. The general form of a geometric sequence can be expressed as ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the term number.


What is the 6th term of the geometric sequence below?

To find the 6th term of a geometric sequence, you need the first term and the common ratio. The formula for the nth term in a geometric sequence is given by ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the term number. Please provide the first term and common ratio so I can calculate the 6th term for you.


What is the 12th term of a geometric sequence in which the common ratio is 2 and the first term is 12?

36


What is the sixth term of a geometric sequence when the first term is 1 and the common ratio is -4?

-1,024