What is the explicit formula for the nth term in a geometric sequence?

The nth term of a geometric sequence is given by the explicit formula: an=a1rn−1.

What kind of sequence is 4 20100?

This is a geometric sequence since there is a common ratio between each term.

How do you find the formula for the nth term of the sequence?

Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

What is the common ratio of the geometric sequence 4/16 64?

1 Expert Answer So the common ratio is 4.

What formula does the general term an of a geometric sequence follow?

The general term, or nth term, of any geometric sequence is given by the formula x sub n equals a times r to the n – 1 power, where a is the first term of the sequence and r is the common ratio.

What formula is used to find an explicit geometric sequence?

n = a1r-1
The explicit formula for a geometric sequence is of the form an = a1r-1, where r is the common ratio.

What is the next term of the Series 4/16 64?

Identify the Sequence 4 , 16 , 64 , 256 , 1024 | Mathway.

How do you find the next term in a geometric sequence?

500 500, 100 100, 20 20, 4 4 This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1 5 1 5 gives the next term. In other words, an = a1 ⋅ rn−1 a n = a 1 ⋅ r n – 1.

How do you find the n-th term of the given equation?

Substitute in the value of n n to find the n n th term. Subtract 1 1 from 5 5. Raise 5 5 to the power of 4 4. Multiply 4 4 by 625 625.

What is n th in math?

N. th. term of an arithmetic or geometric sequence. The main purpose of this calculator is to find expression for the n th term of a given sequence. Also, it can identify if the sequence is arithmetic or geometric. The calculator will generate all the work with detailed explanation.