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What is a geometric sequence that has 5 terms and alternating?
A geometric sequence with 5 terms can alternate by having positive and negative terms. For example, one such sequence could be (2, -6, 18, -54, 162). Here, the first term is (2) and the common ratio is (-3), leading to alternating signs while maintaining the geometric property.
What is geometric sequence in math mean?
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. The general form of a geometric sequence can be expressed as ( 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.
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 12th term of a geometric sequence in which the common ratio is 2 and the first term is 12?
36
What is the sixth term of a geometric sequence when the first term is 1 and the common ratio is -4?
-1,024
What is a geometric sequence that has 5 terms and alternating?
A geometric sequence with 5 terms can alternate by having positive and negative terms. For example, one such sequence could be (2, -6, 18, -54, 162). Here, the first term is (2) and the common ratio is (-3), leading to alternating signs while maintaining the geometric property.
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 geometric sequence in math mean?
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. The general form of a geometric sequence can be expressed as ( 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.
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 12th term of a geometric sequence in which the common ratio is 2 and the first term is 12?
36
What is the sixth term of a geometric sequence when the first term is 1 and the common ratio is -4?
-1,024
What is the sixth term of a geometric sequence when the first term is 7 and the common ratio is 1.1?
11.27357
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.
Is 2 10 50 250 1250 geometric?
This is a geometric sequence of the form a, ar, ar^2, ar^3, ... where a is the first term and r is the common ratio.In our case, the first term a = 2, and the common ratio r = 5.The nth term of such a sequence isan = a r^(n -1).
What does Geometric Series represent?
A geometric series represents the partial sums of a geometric sequence. The nth term in a geometric series with first term a and common ratio r is:T(n) = a(1 - r^n)/(1 - r)
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) ).
How do you find the given term in a geometric sequence?
nth term Tn = arn-1 a = first term r = common factor
