How to write dynamic cumulative multiple in R -

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suppose have vector x as:

x <- c(x1, x2, x3, ..., xn)

i want write function automatically result series this:

y <- c(x1, x1*x2, x1*x2*x3, ..., x1*x2*x3*...*xn)

can tell me how in r?

have @ ?cumprod:

 cumprod(1:10)  # [1]       1       2       6      24     120     720    5040   40320  362880 3628800

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