C++ Articles

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C++ Programe to find n-th term in series 1 2 2 3 3 3 4

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 439 Views

In this problem, we are given an integer N. The task is to find n-th term in series 1 2 2 3 3 3 4….Let’s take an example to understand the problem, InputN = 6Output3ExplanationThe series upto nth term is 1, 2, 2, 3, 3, 3, ...Solution ApproachA simple approach to solve the problem is by using a nested loop. The outer for loop is from 1 to n. And the inner loop is from 1 to i (iterator of outer loop). For each iteration in the inner loop, count the number of elements of the series and return the ...

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C++ program to find n-th term in the series 7, 15, 32, ...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 222 Views

In this problem, we are given an integer N. The task is to find n-th term in series 7, 15, 32....Let’s take an example to understand the problem, InputN = 6Output281ExplanationThe series upto nth term is 7, 15, 32, 67, 138, 281Solution ApproachThe solution to the problem lies in decoding the series. You can see the series is a mix of series.The subtracting the values, T(2) - T(1) = 15 - 7 = 8 T(3) - T(2) = 32 - 15 = 17 So, T(2) = 2*T(1) + 1 T(3) = 2*T(2) + 2 T(n) = 2*T(n-1) + ...

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C++ program to find n-th term in the series 9, 33, 73,129 ...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 455 Views

In this problem, we are given an integer N. The task is to find n-th term in series 9, 33, 73, 129....Let’s take an example to understand the problem, InputN = 4Output129ExplanationThe series upto nth term is 9, 33, 73, 129...Solution ApproachThe solution to the problem lies in finding the nth term of the series. We will find it mathematically and then apply the general term formula to our program.First let’s subtract the series by shifting it by one.Sum = 9 + 33 + 73 + … + t(n-1) + t(n) - Sum = 9 + 33 + 73 + ...

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C++ program to find n-th term of series 1, 4, 27, 16, 125, 36, 343...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 605 Views

In this problem, we are given an integer N. The task is to find the n-th term in series 1, 4, 27, 16, 125, 36, 343....Let’s take an example to understand the problem, InputN = 7Output343ExplanationThe series is 1, 4, 27, 16, 125, 36, 343…Solution ApproachA simple solution to the problem is by finding the general term of the series. This series comprises two different series one at odd terms and one at even terms. If the current element index is even, the element is square of its index. And if the current element index is odd, the element is ...

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Find maximum of minimum for every window size in a given array in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 1K+ Views

In this problem, we are given an array arr[] of size n. Our task is to Find the maximum of the minimum for every window size in a given array.Problem Description − We need to find the maximum of the minimum of a window size that varies from 1 to n. For this we will consider subarrays of the given window size, find the minimum element of each subarray and then find the maximum of all the minimums.Let’s take an example to understand the problem, Inputarr[] = {4, 1, 2, 4, 5, 1, 2, 4}Output5 4 2 1 1 1 ...

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C++ program to find n-th term of series 1, 3, 6, 10, 15, 21...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 702 Views

In this problem, we are given an integer N. The task is to find the n-th term in series 1, 3, 6, 10, 15, 21, 28....Let’s take an example to understand the problem, InputN = 7Output28ExplanationThe series is 1, 3, 6, 10, 15, 21, 28...Solution ApproachA simple solution to the problem is by finding the general term of the series. On observing the series we can see that the ith number of the series is the sum of (i-1)th term and i.This type of number is called triangular number.To solve the problem, we will loop till n, and for each ...

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C++ program to find n-th term of series 2, 10, 30, 68, 130 ...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 4K+ Views

In this problem, we are given an integer N. The task is to find the n-th term in series 2, 10, 30, 68, 130...Let’s take an example to understand the problem, InputN = 7Output350ExplanationThe series is 2, 10, 30, 68, 130, 222, 350...Solution ApproachA simple solution to the problem is by finding the general term of the series. Here, the Nth term of the series is N^3 + N. This is found by subtracting the current element with the current index.For i, i = 1, T(1) = 2 = 1 + 1 = 1^3 + 1 i = 2, T(1) ...

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Find maximum sum taking every Kth element in the array in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 350 Views

In this problem, we are given an array arr[] and an integer k. Our task is to Find the maximum sum taking every Kth element in the array.Problem description: We need to find the maximum sum of the elements of the array such that they are k indexes apart. i.e. we need to maximize the sum, sum = arr[i] + arr[i+k] + arr[i + 2*k] + …. arr[i + p*k], such that (i + p*k) < nLet’s take an example to understand the problem, Inputarr[] = {5, 3, −1, 2, 4, −5, 6}, k = 4Output9ExplanationAll sums of every kth ...

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C++ program to find n-th term of series 3, 9, 21, 41, 71...

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 323 Views

In this problem, we are given an integer N. The task is to find the n-th term in series 3, 9, 21, 41, 71...Let’s take an example to understand the problem, InputN = 7Output169ExplanationThe series is 3, 9, 21, 41, 71, 169...Solution ApproachA simple solution to the problem is by finding the general term of the series. The general term can be found by observing the series a bit. It is, $$T(N) = \sum n^{2} + \sum n + 1$$We can directly use the formula for the sum of square of first n natural numbers, first n natural number and ...

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Find n-variables from n sum equations with one missing in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 157 Views

In this problem, we are given an array sum[] consisting of a sum of (n-1) variables given as, Sum[1] = x2 + x3 + x4 + … xn Sum[2] = x1 + x3 + x4 + … xn . . Sum[i] = x2 + x3 + x4 + … x(i-1) + x(i+1) + … + xn . . Sum[n] = x1 + x2 + x3 + … x(n-1) Our task is to find the value of x1, x2, ... xn.Let’s take an example to understand the problem, Inputsum[] = {6, 6, 6, 6, 6, 6, 6}Outputx1 = 1, x2 = ...

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