# Which is the recursive rule for finding the nth term of a geometric sequence?

## Which is the recursive rule for finding the nth term of a geometric sequence?

If you know the nth term and the common ratio , r , of a geometric sequence , you can find the (n+1)th term using the recursive formula. an+1=an⋅r .

## What is the formula for the nth term of a geometric sequence?

The n th term of a geometric sequence with initial value n and common ratio r is given by: an=arn−1 a n = a r n − 1 .

What is the nth term?

What is the nth term? The nth term is a formula that enables us to find any term in a sequence. The ‘n’ stands for the term number. We can make a sequence using the nth term by substituting different values for the term number(n).

What is the recursive formula?

A recursive formula is a formula that defines each term of a sequence using preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence.

### What is nth term?

The nth term is a formula that enables us to find any term in a sequence. The ‘n’ stands for the term number. To find the 10th term we would follow the formula for the sequence but substitute 10 instead of ‘n’; to find the 50th term we would substitute 50 instead of n.

### What is the recursive rule for a geometric sequence?

The explicit formula for a geometric sequence is of the form an = a1r-1, where r is the common ratio. A geometric sequence can be defined recursively by the formulas a1 = c, an+1 = ran, where c is a constant and r is the common ratio.

How do you find the recursive formula for a geometric sequence?

Recursive formula for a geometric sequence is an=an−1×r , where r is the common ratio.

What is N in arithmetic sequence?

What Is n in Arithmetic Sequence Formula? In the arithmetic sequence formula for finding the general term,an=a1+(n−1)d a n = a 1 + ( n − 1 ) d , n refers to the number of terms in the given arithmetic sequence.