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Arithmetic progression

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Arithmetic progression

An Arithmetic Progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant.

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Example: 2, 5, 8, 11, 14... (Here, the common difference is 3).

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COMMON TERMS USED IN AP

  • First Term (a)
  • Common Difference (d)
  • Number of Terms (n)
  • nth Term (an)
  • Sum of n Terms (Sn)

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1,4,7,10,13,…

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First Term , a = 1

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Common Difference , d = 3

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10,15,20,25,30,…

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First Term , a = 10

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Common Difference , d = 5

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General form of an ap

a, a + d, a + 2d, a + 3d, ..., a + (n - 1)d

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N TH TERM OF AN AP

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  • Find the 10th term of an AP where a = 3 and d = 5.

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an= a+(n-1)d

=3+(10-1)*5

=3+9*5

=3+45

=47