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How to calculate the value of pi from the infinite series?
There are several infinite series. To find PI to x digits, evaluate each term to x+2 digits until the value is 0. Then round to x digits.
Math problem help Find the sum of the infinite geometric series if it exists 1296 plus 432 plus 144 plus?
1,944 = 1296 x 1.5
How do you find the first term of a geometric series?
The answer depends on what information you have been provided with.
How do you find the value of v?
That depends under what context v is used because its can have infinite values.
How do you find the sum of a series of numbers?
There is no simple answer. There are simple formulae for simple sequences such as arithmetic or geometric progressions; there are less simple solutions arising from Taylor or Maclaurin series. But for the majority of sequences there are no solutions.
How to calculate the value of pi from the infinite series?
There are several infinite series. To find PI to x digits, evaluate each term to x+2 digits until the value is 0. Then round to x digits.
Math problem help Find the sum of the infinite geometric series if it exists 1296 plus 432 plus 144 plus?
1,944 = 1296 x 1.5
Math problem help find the sum of the infinite geometric series if it exists 80 plus 40 plus 20?
160... I think. The series is 80+40+20+10+5+2.5+............ (Given the series is infinite it never ends but it gets pretty close to 160) = 159.99999999... ad infinitum [For future reference... series like this are basically equal to 2*the highest value e.g. 2*80=160]
New series is created by adding corresponding terms of an arithmetic and geometric series If the third and sixth terms of the arithmetic and geometric series are 26 and 702 find for the new series S10?
It is 58465.
How do you find the first term of a geometric series?
The answer depends on what information you have been provided with.
How do you find the common ratio in a geometric sequence?
Divide any term in the sequence by the previous term. That is the common ratio of a geometric series. If the series is defined in the form of a recurrence relationship, it is even simpler. For a geometric series with common ratio r, the recurrence relation is Un+1 = r*Un for n = 1, 2, 3, ...
A geometric series has first term 4 and its sum to infinity is 5 Find the common ratio?
1/8
How do you find the sum of an infinite geometric series?
An infinite geometric series can be summed only if the common ratio has an absolute value less than 1. Suppose the sum to n terms is S(n). That is, S(n) = a + ar + ar2 + ... + arn-1 Multipying through by the common ratio, r, gives r*S(n) = ar + ar2 + ar3 + ... + arn Subtracting the second equation from the first, S(n) - r*S(n) = a - arn (1 - r)*S(n) = a*(1 - rn) Dividing by (1 - r), S(n) = (1 - rn)/(1 - r) Now, since |r| < 1, rn tends to 0 as n tends to infinity and so S(n) tends to 1/(1 - r) or, the infinite sum is 1/(1 - r)
How can you find the nth partial?
The Nth partial sum is the sum of the first n terms in an infinite series.
How do you find the value of v?
That depends under what context v is used because its can have infinite values.
Does all the numbers have to repeat in order to be a rational number?
For a number to be rational you need to be able to write it as a fraction. To answer your question, it must repeat as a decimal or else terminate which can be thought of as repeating zeroes. Further, every repeating decimal can be written as a fraction and you can find the fraction by using the formula for the sum of an infinite geometric series.
How do you find the sum of a series of numbers?
There is no simple answer. There are simple formulae for simple sequences such as arithmetic or geometric progressions; there are less simple solutions arising from Taylor or Maclaurin series. But for the majority of sequences there are no solutions.
