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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)
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 are the Common multiples of 21 and 18?
there are infinite amount of common multiples.
Can the exact value of PI be calculated?
"Not as a decimal or fraction as there are an infinite number of digits." This is a common and useful answer. The *correct* answer is that PI is firstly an irrational number that cannot be calculated from any ratio (fraction). Secondly, PI is a transcendental number that, by the definition of "transcendental", cannot be exactly calculated. The nest you can do is to apply an infinite convergent series that becomes more and more accurate with more and more decimal places.
