- #1
123mathguy
- 2
- 0
can some one show me how to write
5+10+17+26 in sigma notation
5+10+17+26 in sigma notation
cks said:How CRGreatHouse see that or how did he trasform from the nth term to the Sn term?
cks said:well, but i fail to guess how you come out with the linear system, a+b+c=5, 4a+2b+c=10, 9a+3b+c=17.
Sigma notation is a mathematical notation that represents the sum of a series of terms. In this case, the series is 5+10+17+26. The symbol "Σ" is used to indicate the sum, and the index below the symbol specifies the starting value of the series (in this case, n=1). The expression after the sigma symbol represents the individual terms of the series, and the upper limit of the series (in this case, n=4) is written above the sigma symbol.
The value of the series 5+10+17+26, represented in sigma notation as Σn=1^4 n^2+4, is 58.
The formula for finding the value of a series in sigma notation is Σn=a^b c, where n is the index variable, a is the starting value, b is the upper limit, and c is the expression for the individual terms of the series. In this case, the formula is Σn=1^4 n^2+4.
Sigma notation is commonly used in science to represent the sum of a large number of values, such as in physics equations for calculating work, energy, or area under a curve. It is also used in statistics for calculating probabilities and in chemistry for representing molecular structures and reactions.
Yes, sigma notation can be used for a variety of series, including arithmetic, geometric, and infinite series. The formula for finding the value of a series in sigma notation may vary depending on the type of series being represented.