called
SEQUENCE
An arrangement of numbers in a definite order accorumy w won
adding/subtracting a fixed number or by multiplying with dividing by a fixed number,
words, a pattern of numbers in which succeeding terms are obtained from the precedinglyre a = first to
5, it can be
e.g. 1,2,3,4,5
A sequence is said to be finite or infinite accordingly it has finite or infinite number
various numbers occurring in a sequence are called its terms.
ere an
ARITHMETIC PROGRESSION (AP).
An arithmetic progression is a list of numbers in which each term is obtained by addin
number to the preceding term except the first term.
This fixed number is called the common difference of the AP. It can be positive, negative
Let us denote the first term of an AP by a,, second term by a2, ..., nth term by an and the where
difference by d. Then the AP becomes a , a2. 03, . ., One
So, az-a = az-a2 = ... = (n - On-1 =
, =d.
The general form of an arithmetic progression is given by
a, a + d. a + 2d, a +3d, ...
where a is the first term and d the common difference.
his I
fle
nth Term of an AP
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