a solution for a sequence of streams

sequence.js

const stream  = require('stream');
const process = require('process')
const { promisify } = require('util')

const fromList = (lst) => new stream.Readable({
  read() {
    if (lst.length) {
      this.push(String(lst.shift()))
    } else {
      this.push(null)
    }
  }
})

const _finished = promisify(stream.finished)

const sequenceStream = (streams) => {
  const resultingStream = new stream.PassThrough()
  let isNext = Promise.resolve()
  for(const [i, curStream] of streams.entries()) {
    isNext = isNext.then(() => {
      curStream.pipe(resultingStream, {end: i === streams.length -1})
      return _finished(curStream)
    }).catch((err) => {
      resultingStream.write(err)
    })

  }
  return resultingStream
}

sequenceStream([
    fromList([1, 2, 3, 4]),
    fromList([5, 6, 7, 8]),
    fromList([9, 10])
]).pipe(process.stdout)