NAGALAND Class 11-science Maths Sequences and Series
Introduction to SequencesIntroduce the concept of sequences and series, their types and specific type of sequence like Fibonacci sequence. Problems based on these concepts.
Arithmetic ProgressionsCondition for a sequence to be an arithmetic progression. General term and common difference of AP, properties of AP. Word problems.
Arithmetic MeanArithmetic Mean of two numbers. Inserting n numbers between two numbers a and b such that the resulting sequence is an AP, Applications of AP
Geometric ProgressionsConcept of Geometric Progression. General term and common ratio of GP. Sum to n terms of the Geometric Progression Properties of Geometric progression.
Sum to Infinity of A GPSum to Infinity of a GP
Relation Between AM and GMGeometric Mean of two numbers. Inserting numbers between any two numbers such that the sequence is a GP. Establish the relation between AM and GM
Special Sequences and SeriesSummation of a series containing squares of first n natural numbers cubes of first n natural numbers. Method of Difference to find the nth term of a series.