Last week, we had questions on geometry; this week is going to be sequences and series. From the point of view of mathematics competitions, you really need to be comfortable with linear and quadratic sequences, geometric sequences, and recurrence relations such as the Fibonacci sequence.
In the higher papers you will also need to be confident in handling series, especially summing convergent series. All the above topics can be found in various school curricula but they are given far more prominence in maths competitions. You also need to be able to rewrite numbers in different forms so that the pattern becomes clear; a kind of numerical juggling.
Today, we have two sequences. Find the next two terms in the following:
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