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What is the 8th term of a series which is a geometric progression having 2nd term of -3 and a 5th term of 81?
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ā 15y ago
the answer for the above question is -2187
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ā 15y ago
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What is the common ratio of the geometric progression?
The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.
How do you find the ratio in the geometric progression?
Divide any term, except the first, by the term before it.
How do you find the first term of a geometric series?
The answer depends on what information you have been provided with.
What is a sequence in which you multiply the previous term by the same number?
Sounds like a Geometric Progression eg 1-3-9-27-81 etc
Formula to find out the sum of n terms?
It is not possible to answer this question without information on whether the terms are of an arithmetic or geometric (or other) progression, and what the starting term is.
What is the formula for the geometric progression with the first 3 terms 4 2 1?
The nth term of the series is [ 4/2(n-1) ].
What is the common ratio of the geometric progression?
The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.
How do you find the ratio in the geometric progression?
Divide any term, except the first, by the term before it.
A geometric progression has a common ratio -1/2 and the sum of its first 3 terms is 18. Find the sum to infinity?
The sum to infinity of a geometric series is given by the formula Sā=a1/(1-r), where a1 is the first term in the series and r is found by dividing any term by the term immediately before it.
What is the pattern for a half a quarter and an eighth?
It's a geometric progression with the initial term 1/2 and common ratio 1/2. The infinite sum of the series is 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)
A sequence in which each term is multiplied by the same value to get the next term?
This is referred to as a geometric progression - as opposed to an arithmetic progression, where each new number is achieved via addition or subtraction.
What are scientific words that start with g?
Geology, Geography, Geometry, Gems, Gold, Gadolinium, Gallium, Germanium, Graduated Cylinder, Gametes, Gauges, Geotropism, Gigabytes, Gigapascal, Gluon, and Gravity.
Difference between AP series GPs reis?
AP - Arithmetic ProgressionGP - Geometric ProgressionAP:An AP series is an arithmetic progression, a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, … is an arithmetic progression with common difference 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by:and in generalA finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.The behavior of the arithmetic progression depends on the common difference d. If the common difference is:Positive, the members (terms) will grow towards positive infinity.Negative, the members (terms) will grow towards negative infinity.The sum of the members of a finite arithmetic progression is called an arithmetic series.Expressing the arithmetic series in two different ways:Adding both sides of the two equations, all terms involving d cancel:Dividing both sides by 2 produces a common form of the equation:An alternate form results from re-inserting the substitution: :In 499 AD Aryabhata, a prominent mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, gave this method in the Aryabhatiya (section 2.18) .[1]So, for example, the sum of the terms of the arithmetic progression given by an = 3 + (n-1)(5) up to the 50th term isGP:A GP is a geometric progression, with a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1 / 2.Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Historically, geometric series played an important role in the early development of calculus, and they continue to be central in the study of convergence of series. Geometric series are used throughout mathematics, and they have important applications in physics, engineering, biology, economics, computer science, queuing theory, and finance.
How do you find the first term of a geometric series?
The answer depends on what information you have been provided with.
800 -400 200 -100 what number comes next?
This appears to be a Geometric Progression with a Common Divisor of -2, so the next term is 50.
What is a sequence in which you multiply the previous term by the same number?
Sounds like a Geometric Progression eg 1-3-9-27-81 etc
