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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.
Find the 10th term of the geometric sequence 10,-20,40…?
-5,120
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)} ).
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.
In the geometric sequence 4,12,36,....which term is 8748?
2946
When In a geometric sequence the term an plus 1 can be smaller than the term a?
Yes, it can.
What is the next term in the geometric sequence 4-1236?
1240
How do you determine if a sequence is geometric?
A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio). 2,4,8,16, --> here the common ratio is 2.
What is the explicit formula for sequence 3 4.5 6.75 10.125?
The given sequence can be identified as a geometric sequence where each term is multiplied by a common ratio. To find the explicit formula, we note that each term can be expressed as ( a_n = 3 \times (1.5)^{n-1} ), where ( n ) is the term number starting from 1. Thus, the explicit formula for the sequence is ( a_n = 3 \times (1.5)^{n-1} ).
What does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
