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Patterns
· Formula🧮 Formula Reference Sheet
Arithmetic: a, a+d, a+2d, … (constant difference d) Geometric: a, ar, ar², … (constant ratio r) Fibonacci: 1, 1, 2, 3, 5, 8, 13, … (F_n = F_(n−1) + F_(n−2)) nth term AP: a + (n−1)d
⚡ Example per formula
Arithmetic: a, a+d, a+2d, … (constant difference d)
↳3, 7, 11, 15 → d=4 → next 19
Geometric: a, ar, ar², … (constant ratio r)
↳2, 6, 18, 54 → r=3 → next 162
Fibonacci: 1, 1, 2, 3, 5, 8, 13, … (F_n = F_(n−1) + F_(n−2))
↳1,1,2,3,5,8 → next 13
nth term AP: a + (n−1)d
↳a=4, d=3, n=5 → 4 + 4×3 = 16
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