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A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6n=14n. The expression is read as the sum of 4n as n goes from 1 to 6.
1:10 14:18 Suggested clip Use Summation Notation To Express The Sum — Arithmetic YouTubeStart of suggested client of suggested clip Use Summation Notation To Express The Sum — Arithmetic
Summation Notation. Often mathematical formulae require the addition of many variables Summation or sigma notation is a convenient and simple form of shorthand used to give a concise expression for a sum of the values of a variable. Let x1, x2, x3, in denote a set of n numbers. X1 is the first number in the set.
0:00 3:52 Suggested clip Finding the sum or an arithmetic series using summation notation YouTubeStart of suggested client of suggested clip Finding the sum or an arithmetic series using summation notation
Summation notation involves: The summation sign, S, instructs us to sum the elements of a sequence. A typical element of the sequence which is being summed appears to the right of the summation sign. The variable of summation is represented by an index which is placed beneath the summation sign.
i=3. Ii + 1 = 34 + 45 + 56. I=1. I(i+1) = 1×2 + 2×3 + 3×4 = 20. N=1. (2n+1) = 3 + 5 + 7 + 9 = 24. And we can use other letters, here we use i and sum up i A (i+1), going from 1 to 3: n=1. N2 = 12 + 22 + 32 + 42 = 30. We can add up the first four terms in the sequence 2n+1:
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