General Forms of Arithmetic Progression (A.P)
If the first term $=a$ and the common difference $=d$.
General form of an AP is $a, a+d, a+2 d, a+3 d,$ ........
If three or four numbers in AP are to be considered, they can be taken conveniently as
$a-d, a, a+d$ or $a-3 d, a-d, a+d, a+3 d$.
General form of an AP is $a, a+d, a+2 d, a+3 d,$ ........
If three or four numbers in AP are to be considered, they can be taken conveniently as
$a-d, a, a+d$ or $a-3 d, a-d, a+d, a+3 d$.
General Forms of Geometric Progression (G.P)
If the first term $=a$ and the common ratio $=r$.
- General form of a GP is $a, a r, a r^2, a r^3, \ldots$.
- If three or four numbers in GP are to be considered, they can be taken conveniently as
$$ \frac{a}{r}, a, a r \text { or } \frac{a}{r^3}, \frac{a}{r}, a r, a r^3 \text {. } $$
- General form of a GP is $a, a r, a r^2, a r^3, \ldots$.
- If three or four numbers in GP are to be considered, they can be taken conveniently as
$$ \frac{a}{r}, a, a r \text { or } \frac{a}{r^3}, \frac{a}{r}, a r, a r^3 \text {. } $$