expansion of the universe

Is it possible to explain to a layman(myself) the flaw in my logic regarding the accelerating expansion of the universe. Quantum theory is i understand it is not comprehensible intuitively but the, admittedly basic explanations, i've heard for for the accelerating expansion seem more intuitive based. The trouble i have is i was always led to believe that the universe is expanding and the further out the galaxies are the faster they are receding, so the expansion is increasing. The problem i have understanding is the fact that information cannot travel faster than speed of light. To my untrained mind it seems to me then that when we look at a nearer galaxy( say 1 billion light years away) and compare it to a galaxy (10 billion light years away) and see that the latter is receding faster does this not show that 10 billion years ago the galaxy was receding a lot faster than they were 1 billion years ago and hence the expansion rate has slowed down over time? Is there a basic way to explain this to me without using high level mathematics that i will not understand?

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