Algebra Notes3
1
Arithmetic Progression, AP Arithmetic Progression (also called arithmetic sequence), is a sequence of numbers such that the difference between any two consecutive terms is constant. Each term therefore in an arithmetic progression will increase or decrease at a constant value called the common difference, d. Derivation of Formulas Let d = common difference a 1 = first term a 2 = second term a 3 = third term ... a m = m th term or any term before ... a n = nth term or last term d = a 2 - a 1 = a 3 - a 2 = a 4 - a 3 and so on. Derivation for in terms of and In similar manner Sum of Arithmetic Progression, S
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Transcript of Algebra Notes3
Arithmetic Progression, APArithmetic Progression (also called arithmetic sequence), is a sequence of numbers such that the difference between any two consecutive terms is constant. Each term therefore in an arithmetic progression will increase or decrease at a constant value called the common difference, d.
Derivation of FormulasLetd = common differencea1 = first terma2 = second terma3 = third term...am = mth term or any term before ...an = nth term or last term d = a2 - a1 = a3 - a2 = a4 - a3 and so on.
Derivation for in terms of and
In similar manner
Sum of Arithmetic Progression, S
