FoldWhile

FoldWhile[f,x,{a1,a2,…},test] returns the first expression f[… f[f[x,a1],a2]…,ak] to which applying test does not yield True.

FoldWhile[f,list,test] is equivalent to FoldWhile[f,First[list],Rest[list],test].

FoldWhile[f,x,{a1,a2,…},test,m] supplies the most recent m results as arguments for test at each step.

FoldWhile[f,x,{a1,a2,…},test,All] supplies all results so far as arguments for test at each step. 

FoldWhile[f,x,{a1,a2,…},test,m,n] returns the result after applying f an extra n times after test fails.

FoldWhile[f,x,{a1,a2,…},test,m,-n] returns the result found when f had been applied n fewer times.

FoldWhile[f,test] represents an operator form of FoldWhile that can be applied to expressions.

Please visit the official Wolfram Language Reference for more details and examples on core symbols.