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Arithmetic progression (AP) formulas
6 formulas for Arithmetic progression (AP), from the Algebra section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| n-th term | aₙ = a + (n − 1)d 🧮 Solve step by step | a first term, d common difference |
| Sum of n terms | Sₙ = n/2 [2a + (n − 1)d] = n/2 (a + l) | l last term |
| n-th term from sum | aₙ = Sₙ − Sₙ₋₁ | |
| Arithmetic mean | A = (a + b) / 2 🧮 Solve step by step | |
| Three terms in AP | a − d, a, a + d | |
| n-th term from the end | l − (n − 1)d |
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