Sequences and Series
ICSE · Class 11 · Mathematics
All formulas from Sequences and Series in ICSE Class 11 Mathematics. Key equations, constants, and identities for board exam preparation.
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2) Fibonacci Sequence
a1 = 1, a2 = 1, a_n = a_(n-1) + a_(n-2) for n >= 3
3) Arithmetic Progression (A.P.)
a_n = a + (n-1)d
S_n = (n/2)[2a + (n-1)d] = (n/2)[a + l]
d = a_(n+1) - a_n
If a, b, c are in A.P., then a + c = 2b
pth term from the end = (n-p+1)th term from the beginning
4) Arithmetic Means
A = (a+b)/2
d = (b-a)/(n+1)
A_k = a + kd, k = 1,2,...,n
Sum of n arithmetic means between a and b = n(a+b)/2
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