Question

What is Arithmetic Progression?​

Answer 1

Answer:

arithmetic progression also known as AP is

Step-by-step explanation:

arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Answer 2

$\LARGE\underline\textrm{\red {Arthemetic \: progression:}}$

$\large\hookrightarrow$A sequence in which the difference of each term from its succeding term is constant throughout is called (A.P) Arthemetic progression.

$\large\hookrightarrow$In other words, A.P. is a sequence($\sf\ a_1,a_2,a_3....a_n$)such that, $\sf\ a_2 - a_1 = a_3 - a_2 = a_n - a_{n-1} =d$

$\large\hookrightarrow$ General term of A.P.=$\sf\ a_n = a + (n-1)d$

$\large\hookrightarrow$ Sum of n terms of A.P. = $\sf\ S_n = \frac{n}{2}[2a + (n-1)d]$

$\large\hookrightarrow$ Here;

$\:\bullet\:\sf\ a = first \: term \\ \:\bullet\:\sf\ d = common \: difference \\ \:\bullet\:\sf\ n = number \: of \: terms$

$\rule{100}2$

Points to ponder more :

$\large\hookrightarrow$ If $\sf\ a_n$ is given, then $\sf\ d= a_n - a_{n-1}$

$\large\hookrightarrow$ If $\sf\ S_n$ is given, then $\sf\ d= S_n - S_{n-1}$

$\large\hookrightarrow$If a,b,c are terms of A.P. then, $\sf\ 2b = a + c$