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Accumulate

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

MORE INFORMATION

If list has length n, then Accumulate[list] will have the same length.

Accumulate[list] is effectively equivalent to Rest[FoldList[Plus, 0, list]].

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

Basic Examples (2)

Cumulative sums:

Accumulate within columns:

Cumulative sums:

Out[1]=

Accumulate within columns:

Out[1]=

Generalizations & Extensions (1)

The head does not need to be List:

Applications (4)

Triangular numbers:

Random walk:

Idealized random mountainside:

Cumulative sums of terms in a series:

Properties & Relations (3)

Differences is almost the inverse of Accumulate:

Accumulate is equivalent to a particular case of FoldList:

Use Sum to symbolically accumulate sequences:

Neat Examples (1)

Diagonals of Pascal's triangle:

FoldList Differences Total Sum Plus MovingAverage LinearRecurrence

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