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n-th term of series 1, 17, 98, 354…… in C++
The given series is 1, 17, 98, 354...
If you clearly observe the series, you will find that the n-th number is equal to the 4 powers.
Let's see the pattern.
1 = 1 ^ 4 17 = 1 ^ 4 + 2 ^ 4 98 = 1 ^ 4 + 2 ^ 4 + 3 ^ 4 354 = 1 ^ 4 + 2 ^ 4 + 3 ^ 4 + 4 ^ 4 ...
Algorithm
- Initialise the number N.
- Initialise the result to 0.
- Write a loop that iterates from 1 to n.
- Add 4th power current number to the result.
- Print the result.
Implementation
Following is the implementation of the above algorithm in C++
#include <bits/stdc++.h>
using namespace std;
int getNthTerm(int n) {
int nthTerm = 0;
for (int i = 1; i <= n; i++) {
nthTerm += i * i * i * i;
}
return nthTerm;
}
int main() {
int n = 7;
cout << getNthTerm(n) << endl;
return 0;
}Output
If you run the above code, then you will get the following result.
4676
Updated on: 22-Oct-2021
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