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C++ Program for sum of arithmetic series
Given with ‘a’(first term), ‘d’(common difference) and ‘n’ (number of values in a string) and the task is to generate the series and thereby calculating their sum.
What is an Arithmetic series
Arithmetic series is the sequence of numbers with common difference where the first term of a series is fixed which is ‘a’ and the common difference between them is ‘d’.
It is represented as −
a, a + d, a + 2d, a + 3d, . . .
Example
Input-: a = 1.5, d = 0.5, n=10 Output-: sum of series A.P is : 37.5 Input : a = 2.5, d = 1.5, n = 20 Output : sum of series A.P is : 335
Approach used below is as follows −
- Input the data as the first term(a), common difference(d) and the numbers of terms in a series(n)
- Traverse the loop till n and keep adding the first term to a temporary variable with the difference
- Print the resultant output
Algorithm
Start Step 1-> declare Function to find sum of series float sum(float a, float d, int n) set float sum = 0 Loop For int i=0 and i<n and i++ Set sum = sum + a Set a = a + d End return sum Step 2-> In main() Set int n = 10 Set float a = 1.5, d = 0.5 Call sum(a, d, n) Stop
Example
#include<bits/stdc++.h>
using namespace std;
// Function to find sum of series.
float sum(float a, float d, int n) {
float sum = 0;
for (int i=0;i<n;i++) {
sum = sum + a;
a = a + d;
}
return sum;
}
int main() {
int n = 10;
float a = 1.5, d = 0.5;
cout<<"sum of series A.P is : "<<sum(a, d, n);
return 0;
}Output
sum of series A.P is : 37.5
Updated on: 18-Oct-2019
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