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Sequence and series

Sequence and series (Questions)

Notes:
The nth term in an arithmetic progression is: an = a + (n-1)d
sum of the nth terms in an arithmetic progression is Sn = n/2(2a + (n-1)d)

A. Solve the following arithmetic progression questions.

  1. If the 10th term is 21 while the 12nd term is 25, what is the common difference (d) and also the second terms of the series.
  2. Find the 10th term of the series (Given that the sum of the nth terms in an arithmetic progression is Sn = 3n + n2).

Sequence and series (Answers)

  1. d = 2, a2 = 5
  2. a5 = 22

 

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