The reason main sequence has a limit at the lower end is because of temperature and pressure. The lower limit exists in order to exclude stellar objects that are not able to sustain hydrogen fusion.
you must find the pattern of the sequence in order to find the next 50 terms using that pattern and the first part of the sequence given
Every convergent sequence is Cauchy. Every Cauchy sequence in Rk is convergent, but this is not true in general, for example within S= {x:x€R, x>0} the Cauchy sequence (1/n) has no limit in s since 0 is not a member of S.
a + 99d where 'a' is the first term of the sequence and 'd' is the common difference.
The 90th term of the arithmetic sequence is 461
If a monotone sequence An is convergent, then a limit exists for it. On the other hand, if the sequence is divergent, then a limit does not exist.
No, such a sequence is not posible.
Students surely can recognize the number that is the limit of this sequence.
Wrong answer above. A limit is not the same thing as a limit point. A limit of a sequence is a limit point but not vice versa. Every bounded sequence does have at least one limit point. This is one of the versions of the Bolzano-Weierstrass theorem for sequences. The sequence {(-1)^n} actually has two limit points, -1 and 1, but no limit.
The reason main sequence has a limit at the lower end is because of temperature and pressure. The lower limit exists in order to exclude stellar objects that are not able to sustain hydrogen fusion.
To the best of my knowledge, a random sequence limit imposes restrictions on random number generation. For example, one may want to generate random numbers such that any number does not occur consecutively three times. Another definition of a random sequence limit is the number that a sequence of random measurements of some property converge to as the number of measurements increase.
A convergent sequence is an infinite sequence whose terms move ever closer to a finite limit. For any specified allowable margin of error (the absolute difference between each term and the finite limit) a term can be found, after which all succeeding terms in the sequence remain within that margin of error.
The limit of the ratio is the Golden ratio, or [1 + sqrt(5)]/2
The limit is the Golden ratio which is 0.5[1 + sqrt(5)]
you must find the pattern of the sequence in order to find the next 50 terms using that pattern and the first part of the sequence given
Someone looking for a sequence diagram online can find them at various websites. Microsoft is a website which has sequence diagrams. There are many other websites dedicated to sequence diagrams.
A sequence of numbers, xn (where n = 1, 2, 3, ...), is said to converge to a limit L if, given any positive e, however small, it is possible to find an integer k such that |xn - L| < e for all n > k.In other words, after a certain point (k) all terms of the sequence are closer to the limit (L) than any tiny number.