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Mathematics 8 Online
OpenStudy (anonymous):

can someone please explain sigma notation?

OpenStudy (anonymous):

sigma is the symbol used to represent sums

OpenStudy (anonymous):

yeah, but what do all the numbers floating about mean...

OpenStudy (anonymous):

what does the top number mean?

OpenStudy (anonymous):

It's for summation

OpenStudy (anonymous):

what about the bottom and the side?

OpenStudy (anonymous):

sigma is the symbol used to represent summation given specific intervals..that is from one value to another value i.e lower value to up[er value the summation has to be carried

OpenStudy (maheshmeghwal9):

\[\sum_{n=1}^{10}({n+1})\]I means that u put the value of 'n' one by one upto 10 & add them all like: -\[(1+1)+(2+1)+(3+1).........\]

OpenStudy (maheshmeghwal9):

so \[\sum_{?}^{?}= summing.\]

OpenStudy (anonymous):

what does the n=1 mean, and the 10 on top. I understand that sigma is used in summation and sequencing, but i want to know what each place means

OpenStudy (anonymous):

Sigma notation is a concise and convenient way to represent long sums. For example, we often wish to sum a number of terms such as 1 + 2 + 3 + 4 + 5 or 1 + 4 + 9 + 16 + 25 + 36 where there is an obvious pattern to the numbers involved. The first of these is the sum of the first five whole numbers, and the second is the sum of the first six square numbers. More generally, if we take a sequence of numbers u1, u2, u3, . . . , un then we can write the sum of these numbers as u1 + u2 + u3 + . . . + un . A shorter way of writing this is to let ur represent the general term of the sequence and put Xn r=1 ur . Here, the symbol is the Greek capital letter Sigma corresponding to our letter ‘S’, and refers to the initial letter of the word ‘Sum’. So this expression means the sum of all the terms ur where r takes the values from 1 to n. We can also write Xb r=a ur to mean the sum of all the terms ur where r takes the values from a to b. In such a sum, a is called the lower limit and b the upper limit. Key Point The sum u1 + u2 + u3 + . . . + un is written in sigma notation as Xn r=1 ur .

OpenStudy (anonymous):

http://www.mash.dept.shef.ac.uk/Resources/sigma.pdf

OpenStudy (anonymous):

refer to this link

OpenStudy (anonymous):

ohhh. so they are bounds

OpenStudy (anonymous):

thnx

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