Question

explain the steps in finding nth term of a geometric sequence​

Answer 1

Answer:

First, calculate the common ratio r by dividing the second term by the first term. Then use the first term a and the common ratio r to calculate the nth term by using the formula an=arn−1 a n = a r n − 1 .

Step-by-step explanation:

To find the nth term, first calculate the common difference, d . Next multiply each term number of the sequence (n = 1, 2, 3, …) by the common difference. Then add or subtract a number from the new sequence to achieve a copy of the sequence given in the question.

Answer 2

The nth term of a geometric sequence​ is found by the formula arⁿ⁻¹.

• A geometric sequence is a series of numbers written in such a way that every consecutive number has a common ratio between them.
• The formula used to find a term in a geometric sequence is written as follows.

$t_{n} = ar^{n-1}$

• Here, a is the first term of the sequence, r is the common ratio and n is the term to be found.
• The common ratio is found by dividing a number in the sequence by its preceding number in the sequence. The quotient gives the common ratio.