How to write a formula for the nth term of a geometric sequence

Finding the nth term of a geometric sequence examples

Mathematicians also refer to generic sequences using the letter a along with subscripts that correspond to the term numbers as follows: Generic Sequence: a1, a2, a3, a4, This means that if we refer to the tenth term of a certain sequence, we will label it a Because these sequences behave according to this simple rule of multiplying a constant number to one term to get to another, they are called geometric sequences. Show Step-by-step Solutions Geometric Sequences This video looks at identifying geometric sequences as well as finding the nth term of a geometric sequence. Example: Show Step-by-step Solutions Find the Formula for a Geometric Sequence Given Terms This video explains how to find the formula for the nth term of a given geometric sequence given three terms of the sequence. If we were to try and find the 20th term, or worse the th term, it would take a long time if we were to simply multiply a number -- one at a time -- to find our terms. This works for any pair of consecutive numbers. Geometric Sequences - nth Term Examples, solutions, videos, worksheets, games and activities to help Algebra II students learn about how to find the nth term of a geometric sequence. Finding the nth Term of a Geometric Sequence How to find any term of a geometric sequence? Show Step-by-step Solutions Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations. Please submit your feedback or enquiries via our Feedback page. Calculating the nth Term In order for us to know how to obtain terms that are far down these lists of numbers, we need to develop a formula that can be used to calculate these terms. Scroll down the page for examples and solutions on how to use the formula.

How to use the formula to find the nth term of geometric sequence? Luckily, there is a way to arrive at the th term without the need for calculating terms 1 through Sequences of numbers that follow a pattern of multiplying a fixed number from one term to the next are called geometric sequences.

This means that if we refer to the tenth term of a certain sequence, we will label it a Show Step-by-step Solutions Geometric Sequences This video looks at identifying geometric sequences as well as finding the nth term of a geometric sequence.

nth term formula

Example: Given the information about the geometric sequence, determine the formula for the nth term. This notation is necessary for calculating nth terms, or an, of sequences. This also works for any pair of consecutive numbers.

geometric sequence formula
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Geometric Sequences