What is the specified term in a geometric sequence?

Finding the nth Term of a Geometric Sequence Given a geometric sequence with the first term a1 and the common ratio r , the nth (or general) term is given by. an=a1⋅rn−1 .

What is the geometric sequence 6 18?

A geometric sequence (also known as a geometric progression) is a sequence of numbers in which the ratio of consecutive terms is always the same. For example, in the geometric sequence 2, 6, 18, 54, 162, …, the ratio is always 3. This is called the common ratio.

What is the specified term?

More Definitions of Specified Term Specified Term means the term of such Advance or, as the case may be, the period in respect of which LIBOR falls to be determined in relation to such unpaid sum.

What is the sum of the geometric series 2 6 18?

There are 7 terms in the geometric sequence, whose first term is 2, the common ratio is and the sum is 2187.

How do you find the nth term of a geometric sequence?

To find the nth term of a geometric sequence: 1 Calculate the common ratio raised to the power (n-1). 2 Multiply the resultant by the first term, a. More

What is the geometric sequence sequence definition?

Geometric sequence sequence definition. The geometric sequence definition is that a collection of numbers, in which all but the first one, are obtained by multiplying the previous one by a fixed, non-zero number called the common ratio.

What are the most important values of a finite geometric sequence?

With our geometric sequence calculator, you can calculate the most important values of a finite geometric sequence. These values include the common ratio, the initial term, the last term and the number of terms. Here’s a brief description of them: Initial term: First term of the sequence,

Is there a formula for the n-th term of a geometric progression?

What we saw was the specific explicit formula for that example, but you can write a formula that is valid for any geometric progression – you can substitute the values of a₁ for the corresponding initial term and r for the ratio. The general formula for the n-th term is: where n ∈ 𝗡 means that n =1, 2, 3..