📊 Arithmetic Progression Quiz
Master the concepts of AP with this interactive quiz!
📚 Arithmetic Progression - Theory & Formulas
🎯 What is Arithmetic Progression (AP)?
An Arithmetic Progression is a sequence of numbers in which the difference between consecutive terms is constant.
Example: 2, 5, 8, 11, 14, ... (difference = 3)
📋 General Form of AP
a, a+d, a+2d, a+3d, a+4d, ...
Where:
- a = First term
- d = Common difference
Example: If a = 3 and d = 4, then AP is: 3, 7, 11, 15, 19, ...
📐 nth Term Formula
an = a + (n-1)d
Example: Find 10th term of AP: 5, 8, 11, 14, ...
Here, a = 5, d = 3
a10 = 5 + (10-1)×3 = 5 + 27 = 32
➕ Sum Formula
Sn = n2 × [2a + (n-1)d]
Alternative:
Sn = n2 × [First term + Last term]
Example: Find sum of first 6 terms of AP: 2, 5, 8, 11, ...
Here, a = 2, d = 3, n = 6
S6 = 62 × [2×2 + (6-1)×3] = 3 × [4 + 15] = 3 × 19 = 57
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