Math, asked by kanwasineha, 1 month ago

prepare a Mind Map of arithmetic progression​

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Answered by shiwani13158
1

please mark it brainliest

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Answered by RitaNarine
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A series of numbers is called an "arithmetic progression" (AP) when any two subsequent numbers have a constant difference.

  • For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between the two succeeding terms.
  •  Some of the key terms in AP are the First term (a), Common difference (d), nth Term (aₙ), and Sum of the first n terms (Sₙ).
  • [a, a + d, a + 2d, a + 3d, a + 4d, ………., a + (n – 1) d] here, a is the first term.
  • The common difference (d) = a2 – a1 = a3 – a2 = ……. = aₙ – aₙ ₋ ₁
  • The nth term of AP is aₙ = a + (n − 1) × d. Here, a is the First term, d is the Common difference, n = the number of terms, and aₙ = nth term.

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