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What is the rule for the sum of the first n terms of a geometric series?
Wiki User
∙ 13y ago
Suppose the nth term is = arn where n = 1,2,3, ...
Then the sum to the nth term is a*(rn+1 - 1)/(r - 1) or, equivalently,
a*(1 - rn+1)/(1 - r)
Wiki User
∙ 13y ago
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What is a geometric rule that must be proven?
A Postulate,
What general rule for a geometric sequences?
In a Geometric Sequence each term is found by multiplying the previous term by a common ratio except the first term and the general rule is ar^(n-1) whereas a is the first term, r is the common ratio and (n-1) is term number minus 1
What are Aristotle's contributions to mathematics?
the rule for chains of geometric shapes
What is the difference between a sequence and a series?
The sum of the terms in a sequence is called a series. Sequence is a function whose domain is the natural numbers. So f(1)= first entry in the sequence, and f(2) is the next.... f(n) is the nth term. We usually don't write sequences that way. Instead of f(1) we write, a1 to refer to the first term. The function tells us the rule we use to find the terms of the sequence. So for example, f says take n and square it. Then the first 3 terms of the sequence are 1, 4 and 9 and the first 3 terms of the series are 1, 5 and 14
What is the rule for 1 1 2 3 5?
Each term is the sum of the two terms before it. That's the famous "Fibonacci" series.
What is a geometric rule that must be proven?
A Postulate,
What general rule for a geometric sequences?
In a Geometric Sequence each term is found by multiplying the previous term by a common ratio except the first term and the general rule is ar^(n-1) whereas a is the first term, r is the common ratio and (n-1) is term number minus 1
What are Aristotle's contributions to mathematics?
the rule for chains of geometric shapes
What is the difference between a sequence and a series?
The sum of the terms in a sequence is called a series. Sequence is a function whose domain is the natural numbers. So f(1)= first entry in the sequence, and f(2) is the next.... f(n) is the nth term. We usually don't write sequences that way. Instead of f(1) we write, a1 to refer to the first term. The function tells us the rule we use to find the terms of the sequence. So for example, f says take n and square it. Then the first 3 terms of the sequence are 1, 4 and 9 and the first 3 terms of the series are 1, 5 and 14
How do you find the next term of a sequence number?
The first step is to find the sequence rule. The sequence could be arithmetic. quadratic, geometric, recursively defined or any one of many special sequences. The sequence rule will give you the value of the nth term in terms of its position, n. Then simply substitute the next value of n in the rule.
What is the rule for 1 1 2 3 5?
Each term is the sum of the two terms before it. That's the famous "Fibonacci" series.
What is application of geometric mean?
Mean of the growth of a population, investments, etc. Rule of thumb for geometric mean: THE FORMULA INVOLVES GROWTH, i.e. is exponential in nature.
A rule in terms of n for the sum of the first n odd positive integers is?
n2+n
What are the rules of geometry?
The first rule of geometry..... do not talk about geometry. The second rule of geometry..... DO NOT TALK ABOUT GEOMETRY hahah But seriously you'll have to be a bit more specific here cos there's too many geometric rules to list!
What is a rule in terms of n for the sum of the first n odd positive integers is?
Sn = n^2
What is the title of the first novel in the Sword of Truth series?
The title of the first novel in the Sword of Truth series is "Wizard's First Rule." This book introduces readers to the character Richard Cypher and his journey as he discovers his destiny as the Seeker of Truth.
Who developd the geometric rule A squared B squared C squared?
I forget his name, but its something like Pythagoreus, as the rule is called the "Pythagorean Theorem"
