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nth term Tn = arn-1

a = first term

r = common factor

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16y ago

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What is the common ratio of the geometric sequence 625 125 25 5 1?

It is 0.2


What is the 12th term in a geometric sequence that has a first term of 6 and a common ratio of 3?

It is 1062882.


What is the fifth term of the geometric sequence?

It is a*r^4 where a is the first term and r is the common ratio (the ratio between a term and the one before it).


This is Q of sequence series hlp me1 2 4 8 16 ..find nth term of the series find sum of first n term?

If you remember taking sequences, you'll recall that there are three main types: 1)Arithmetic Sequence 2)Geometric Sequence 3)Varied-formula Sequence If the difference between the terms is additional or subractional then its an arithmetic sequence, lets check if this is the case, subtract the first term from the second and the second from the third etc : 1, 2, 4, 8, 16 2-1=1 4-2=2 8-4=4....all the answers are not constant so it is not an arithmetic sequence In a geometric sequence, the difference is in multiplication or division so we divide like this t2/t1 then t3/t2 and then t4/t3 and so on: 2/1=2 4/2=2 8/4=2...all the numbers are constant so this sequence we have here is a geometric sequence to find the nth term we use a formula it varies from the kind of sequence you are using, the formula for a geometric sequence is: tn=t1*r^(n-1) The formula might look confusing so ill write it down for you: "term n= term 1 multiplied by common ratio to the power n-1" The 'common ratio' is the constant so in this case it equals 2. tn=1*2^(n-l) that is the farthest you can go, if the question gives you the nth term then you may substitute it yourself. You didn't make yourself very clear with the last part of your question...


What is a geometric term?

A geometric term is a term of geometry.

Related Questions

What is the 6th term of the geometric sequence below?

To find the 6th term of a geometric sequence, you need the first term and the common ratio. The formula for the nth term in a geometric sequence is given by ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the term number. Please provide the first term and common ratio so I can calculate the 6th term for you.


What is the fifth term to the geometric sequence 804020?

To find the fifth term of the geometric sequence 8, 0, 4, 0, 20, we need to identify a pattern. The terms appear to alternate between zero and other values, but there might be a misunderstanding since the terms provided don't follow a consistent geometric ratio. Assuming the sequence is correct as given, the fifth term is 20.


What is the nth term of the geometric sequence 4 8 16 32 ...?

The given sequence is a geometric sequence where each term is multiplied by 2 to get the next term. The first term (a) is 4, and the common ratio (r) is 2. The nth term of a geometric sequence can be found using the formula ( a_n = a \cdot r^{(n-1)} ). Therefore, the nth term of this sequence is ( 4 \cdot 2^{(n-1)} ).


Find the 10th term of the geometric sequence 10,-20,40…?

-5,120


Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?

Yes, that's what a geometric sequence is about.


What is the 7th term in the geometric sequence whose first term is 5 and the common ratio is -2?

Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5


What is the seventh term in a geometric sequence if the sixth term is 18 and the eighth term is 32?

In a geometric sequence, the ratio between consecutive terms is constant. Given that the sixth term is 18 and the eighth term is 32, we can find the common ratio ( r ) by dividing the eighth term by the sixth term: ( r = \frac{32}{18} = \frac{16}{9} ). To find the seventh term, we can multiply the sixth term by the common ratio: ( 18 \times \frac{16}{9} = 32 ). Therefore, the seventh term is 32.


Which term describes a function in which the y-values form a geometric sequence?

A function in which the y-values form a geometric sequence is referred to as a geometric function. In such functions, each successive value is obtained by multiplying the previous value by a constant ratio. This characteristic means that for a given input, the output values follow a specific pattern defined by the geometric sequence.


How do you find Function notation from geometric sequence?

To express a geometric sequence in function notation, identify the first term (a) and the common ratio (r) of the sequence. The nth term of a geometric sequence can be represented as ( f(n) = a \cdot r^{(n-1)} ), where ( n ) is the term number. For example, if the first term is 2 and the common ratio is 3, the function notation would be ( f(n) = 2 \cdot 3^{(n-1)} ). This allows you to calculate any term in the sequence using the function ( f(n) ).


In the geometric sequence 4,12,36,....which term is 8748?

2946


How do you find the 20th term of the pattern 3 6 12 24?

The pattern given is a geometric sequence where each term is multiplied by 2 to get the next term. To find the 20th term, we can use the formula for the nth term of a geometric sequence: ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term (3) and ( r ) is the common ratio (2). Thus, the 20th term is calculated as ( a_{20} = 3 \cdot 2^{19} ). Evaluating this gives ( a_{20} = 3 \cdot 524288 = 1572864 ).


When In a geometric sequence the term an plus 1 can be smaller than the term a?

Yes, it can.