1
,SEQUENCE
&
SERIES
Read every points for a thorough revision.
Read highlights for quick revision.
→ Fairly important concepts.
→ Must read concepts & formulas.
2
, SEQUENCE AND SERIES
Sequence : Function with natural number as domain. [ f:N → R]
[i.e: Counting elements in also a sequence which starts from
natural number 1,2,3,4….n]
Progression : A sequence with general term(n).
[ i.e: 2,4,6,8,10……} progression which can be represented as “2n”
where n€N(natural number) ]
Series : Sum/difference or both of terms of a sequence.
[i.e: 2 + 4 – 6 + 8…..]
Do not confuse series as sequence and vice versa.
Arithmetic Progression(AP) :-
Subsequent terms with constant difference.
[ i.e. a1, a2, a3, a4, a5,..., an is in AP if
a2-a1 = a3-a2 = a4-a3 = a5-a4.....an-a(n-1) = d (common difference) ]
3
,SEQUENCE
&
SERIES
Read every points for a thorough revision.
Read highlights for quick revision.
→ Fairly important concepts.
→ Must read concepts & formulas.
2
, SEQUENCE AND SERIES
Sequence : Function with natural number as domain. [ f:N → R]
[i.e: Counting elements in also a sequence which starts from
natural number 1,2,3,4….n]
Progression : A sequence with general term(n).
[ i.e: 2,4,6,8,10……} progression which can be represented as “2n”
where n€N(natural number) ]
Series : Sum/difference or both of terms of a sequence.
[i.e: 2 + 4 – 6 + 8…..]
Do not confuse series as sequence and vice versa.
Arithmetic Progression(AP) :-
Subsequent terms with constant difference.
[ i.e. a1, a2, a3, a4, a5,..., an is in AP if
a2-a1 = a3-a2 = a4-a3 = a5-a4.....an-a(n-1) = d (common difference) ]
3
