Sum of a sequence

Calculates the sum of a sequence defined by an expression between given bounds.

Syntax

sum
sumSeq(Expression, Variable, Lower limit, Upper limit)

Examples

Binomial expansion with slider

Explore the coefficients and terms of the binomial expansion by changing the exponent (n) with a slider. Set the slider step to 1 (integer) to see how the coefficients from Pascal's triangle are formed for each power.

Integral as a sum

An approximate value of an integral can be calculated using a sum by dividing the interval into subintervals. The number of subintervals can be adjusted with a slider, improving the accuracy of the sum. As the number of subintervals increases without bound, the limit of the sum equals the exact value of the integral.

Binomial distribution

The binomial probability function can be defined using the binomPdf command 5: Probability > 5: Distributions > A: Binomial Pdf.... To calculate the probability for a range of values, you can use a sum or the guided binomCdf command 5: Probability > 5: Distributions > B: Binomial Cdf..., which evaluates the sum for you.