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Sum of the first N terms of the series 2, 6, 12, 20, 30…. in c programming
To find the sum of this series, we will first analyze this series.
The series is: 2,6,12,20,30…
Example
For n = 6 Sum = 112 On analysis, (1+1),(2+4),(3+9),(4+16)... (1+12), (2+22), (3+32), (4+42), can be divided into two series i.e. s1:1,2,3,4,5… andS2: 12,2,32,....
Find the sum of first and second using mathematical formula
Sum1 = 1+2+3+4… , sum1 = n*(n+1)/2 Sum2 = 12+22+32+42… , sum1 = n*(n+1)*(2*n +1)/6
Example
#include <stdio.h>
int main() {
int n = 3;
int sum = ((n*(n+1))/2)+((n*(n+1)*(2*n+1))/6);
printf("the sum series till %d is %d", n,sum);
return 0;
}Output
The sum of series till 3 is 20
Updated on: 09-Aug-2019
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