sequences and series

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Sequences and series

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A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence. What ...

Sequence: a, a+d, a+2d,……,a+(n-1)d,…

Common Difference or Ratio: Successive term – Preceding term Common difference = ...

Sum of first n terms: sn = n/2(2a + (n-1)d)

General Term (nth Term): an = a + (n-1)d

SEQUENCES AND SERIES 179. In the sequence of primes 2,3,5,7,…, we find that there is no formula for the nth prime. Such sequence can only be described by ...

A Sequence usually has a Rule, which is a way to find the value of each term. Example: the sequence {3, 5, 7, 9, ...} starts at 3 and jumps 2 every time:.

Category:Sequences and series ... In mathematics, a sequence is a list of objects (or events) which have been ordered in a sequential fashion; such that each ...

Sequences are like chains of ordered terms. Series are sums of terms in sequences. These simple innovations uncover a world of fascinating functions and ...