prepare a Mind Map of arithmetic progression
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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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