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Examples of Calculate terms of Sequences


Calculate terms of Sequences

Post by natttt
Posted on 2011-05-03 12:37:15
A Sequence is a set of things (usually numbers) that are in order.

Examples:

Calculate the first 4 terms of this sequence: {an} = { (-1/n)n }

Calculations:
* a1 = (-1/1)1 = -1
* a2 = (-1/2)2 = 1/4
* a3 = (-1/3)3 = -1/27
* a4 = (-1/4)4 = 1/256

Answer: {an} = { -1, 1/4, -1/27, 1/256, ... }


A rule for {3, 5, 7, 9, ...} can be written as an equation like this: xn = 2n+1

Calculate the 10th term:

x10 = 2n+1 = 2×10+1 = 21


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