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Mathematica > Core Language > List Manipulation > Math & Counting Operations on Lists > Accumulate >

Accumulate

Accumulate[list]
gives a list of the successive accumulated totals of elements in list.

Accumulate[list, Method->"CompensatedSummation"] uses compensated summation to reduce numerical error in the result.

Cumulative sums:

Accumulate within columns:

Cumulative sums:

Out[1]=

Accumulate within columns:

Out[1]=

The head does not need to be List:

Triangular numbers:

Random walk:

Idealized random mountainside:

Cumulative sums of terms in a series:

Differences is almost the inverse of Accumulate:

Accumulate is equivalent to a particular case of FoldList:

Use Sum to symbolically accumulate sequences:

Diagonals of Pascal's triangle: