Sequence and series Flashcards
What is n in An
n is a natural number
__________ collection of numbers
ordered
What is the element of the sequence
An
The element of the sequence must have a ______ value
definite
What is finite and infinite sequence
finite- no. of terms are limited
infinite- no. of terms are unlimited
nth term of sequence is also called
general term
what is series
Series is a sum of elements of a sequence
Full form of A.P
Arithmetic Progression
Formula of A.P
An= a+(n-1)d
Arithmetic mean
a+b/2
Sum of A.P
a+l/2
OR
n/2 * ( 2a + (n-1)d )
Sum of first n natural numbers
n(n+1)/2
Sum of n odd number
n^2
sum of squares of natural numbers
n(n+1)(2n+1)/6
constant multiplier also known as
common ratio
nth term of G.P
ar^n-1
sum of G.P
r>1
rn-1/r-1
r<1
1-rn/1-r
sum of infinite G.P
a/1-r
relation of am and gm of two positive unequal quantities
A>G
