Sum of First n Terms of AP


 
 
Concept Explanation
 

Sum of First n Terms

Sum of N Terms of an AP: The sum of n terms when the AP is given

 large S_n=large frac{n}{2}left [ 2a+(n-1)d right ];or;=frac{n}{2}(a+l)

When l = Last term up to which the sum of A.P. is to find

For Example: Find the sum of first 10 terms of the given AP 34+ 37+ 40+....

Solution:                       large a = 34,;d=37-34=3;,n=10

 large Rightarrow 34+37+40+.....10 ;terms = ?

 large S_{n}=frac{n}{2}left [ 2a+(n-1) dright ]

Substituting thevalue of 'a' and 'd ' and n  in large s_{n}

large S_n= frac{10}{2} left [ 2times 34+ (10-1) 3 right ]large S_n= frac{10}{2} left [ 68+ (9)3 right ]

large S_n= frac{10}{2} left [ 68+ (9)3 right ]large = 5 left [ 68+ 27 right ]=5 times 95=475

Sample Questions
(More Questions for each concept available in Login)
Question : 1

In a AP series of 100 terms large a_1+a_5_0+a_5_1+a_1_0_0=40 ,so what is the sum of all the terms of the series?

Right Option : A
View Explanation
Explanation
Question : 2

If the sum of 3 consecutive terms of an AP is zero and what will be their product ?

Right Option : D
View Explanation
Explanation
Question : 3

If the sum of first n terms of an AP is n(3n + 7) , then its 10th term is ________

Right Option : C
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 
 


Students / Parents Reviews [10]