formulas of chapter
arithmetic progression
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(a1 + (n – 1) d) is the general (nth) term of an AP
S = [(n/2) * (2a1 + (n – 1) d)] is the sum of first n terms of an AP
If a constant number is added or subtracted from each term of an A.P, then the resulting term in the sequence are also in A.P with the same common difference.
If each term in an A.P is divided or multiply with a constant non-zero number, then the resulting sequence is also in an A.P
Three number x, y and z are in an A.P if 2y = x + z
A sequence is an A.P if its nth term is a linear expression.
If we select terms in the regular interval from an A.P, these selected terms will also be in AP
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