Lesson 2 of 20 • 17 upvotes • 12:27mins
arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. Example 2,4,6,8,10….is an arithmetic sequence with the common difference 2. If the first term of an arithmetic sequence is a1 and the common difference is d, then the nth term of the sequence is given by: an=a1+(n−1)dan=a1+(n−1)d An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, a1 and last term, an, divide by 2 in order to get the mean of the two values and then multiply by the number of values, n: Sn=n2(a1+an)Sn=n2(a1+an)
20 lessons • 4h 28m
Course overview
4:37mins
Sequences and Series
12:27mins
(AP) Arithmetic Progression
14:34mins
Sum and General Terms of AP
15:00mins
Arithmetic Mean or AM
15:00mins
(GP) Geometric Progression
14:41mins
Geometric Mean or GM
15:00mins
Harmonic Progression HP
13:37mins
AM GM HM Inequalty
14:14mins
Arithmetico Geometric Progression (AGP)
13:32mins
Selection of Terms in AP
13:01mins
Sum of Terms by General Term
12:01mins
Method of Difference to find General Term
12:09mins
Method of Difference to find Sum
12:54mins
Method of difference for general terms explanation
12:41mins
Questions asked in previous years in IIT JEE
15:00mins
PYQs ad expected questions for vectors
14:38mins
Sum by changing nth term
13:51mins
Important Questions at a glance
15:00mins
Rth differences of terms of Series ✔️
14:03mins