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Sequence and Series

Let us consider the following series:
  • •1, 4, 9, 16,…
  • •2, 6, 12, 20,…
It can be observed here that each of these two series shares some or the other common property:
Series (i) is  12, 22, 32, 42
Series (ii) is  12 + 1, 22 + 2, 32 + 3, 42 + 4…

With this, any term or in general t
n, for either of the two series can be very easily found out.
For series (i), t10 = 102
For series (i), t10 = 102 + 10.

If the terms of a sequence are written under some specific conditions, then the sequence is called a progression.

With respect to preparation for the CAT, we will confine ourselves only to the following standard series of progression:
  1. Arithmetic Progression
  2. Geometric Progression
  3. Harmonic Progression




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