What is the term to term rule for 2 6 18 54 162?

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 common ratio of the sequence 2 6 18 54?

ratio 3
For example, the sequence 2, 6, 18, 54, is a geometric progression with common ratio 3.

What are the next three terms of the sequence 2 6 18 54?

Since 2*3=6, 6*3=18, 18*3=54 so 54*3=162. Therefore next number is 162.

What is the sum of the first 6th terms of the sequence 2 6 18?

-364
Summary: The sum of the first six terms of the above geometric series is -364.

What is the common ratio of the sequence form?

The common ratio is the amount between each number in a geometric sequence. It is called the common ratio because it is the same to each number, or common, and it also is the ratio between two consecutive numbers in the sequence.

What is the common ratio of the geometric sequence?

What is the common ratio of the geometric sequence 2, 6, 18, 54,…? A geometric sequence has a common ratio, that is: the divider between any two nextdoor numbers: Or in other words, we multiply by 3 to get to the next.

What is the value of a n in a geometric sequence?

a nis the nth term of the sequence. When writing the general expression for a geometric sequence, you will not actually find a value for this. It will be part of your formula much in the same way x’s and y’s are part of algebraic equations. a 1 is the first term in the sequence.

What is the first term in the sequence 2 and 3?

The first term in the sequence is 2 and the common ratio is 3. This is enough information to write the explicit formula. Be careful here! DO NOT multiply the 2 and the 3 together. Order of operations tells us that exponents are done before multiplication. So 3 must be raised to the power as a separate operation from the multiplication.

What is the 12th term in the sequence when n = 12?

We know that when n = 12, the 12 th term in the sequence is 14336. If we simplify that equation, we can find a 1. Now that we know the first term along with the r value given in the problem, we can find the explicit formula.