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Arithmetic Progression

\(a, \: a + b, \: a + 2b, \: a + 3b, \: \dotso \)

 

\(T_n = a + (n - 1)b\)

\(T_n - T_{n - 1} = b\)

\(S_n = \dfrac{n}{2} \:.\: \left[a + T_n \right]\)

\(S_n = \dfrac{n}{2} \:.\: \left[2a + (n - 1)b \right] \)

 

Exercise

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Expansion (a + b)^n (Prev Lesson)
(Next Lesson) Geometric progression

Series

  • Expansion (a + b)^n
  • Arithmetic progression
  • Geometric progression
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