Formulas of Arithmetic Progressions (A.P)
Suppose if, ‘a’ is the first term and ‘d’ is a common difference, then,
- Formula to find Nth term of arithmetic progression is = a + (n -1) d
- Arithmetic mean =
- Formula to find Sum of ‘n’ terms of an AP = (First Term + Last term)
S =
where, L = a + (n – 1) d
Thus,
- Formula to find Number of terms of an AP
where l : last term , a : first term and d : common difference
where Tn = nth term:
- If a, b and c are three terms in AP then
which is called Arithmetic Mean
Formulas of Harmonic Progression (H.P)
- The nth term in HP is identified by,
- To solve any problem in harmonic progression, a series of AP should be formed first, and then the problem can be solved.
- For two terms ‘a’ and ‘b’,
Harmonic Mean =
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